CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available" lang="cv" dir="ltr"> <head> <meta charset="UTF-8"> <title>Риман геометрийĕ — Википеди</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )cvwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":[",\t."," \t,"],"wgDigitTransformTable":["",""], "wgDefaultDateFormat":"dmy","wgMonthNames":["","Кӑрлач","Нарӑс","Пуш","Ака","Ҫу","Ҫӗртме","Утӑ","Ҫурла","Авӑн","Юпа","Чӳк","Раштав"],"wgRequestId":"9137f1b5-a5c9-41d6-b4b1-cd83edbea6d2","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Риман_геометрийĕ","wgTitle":"Риман геометрийĕ","wgCurRevisionId":797738,"wgRevisionId":797738,"wgArticleId":13645,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Риманла (тата псевдо-Риманла) геометри","Нумайсăнарлăхсен структурисем","Асамлӑ ISBN каҫӑсемпе усӑ куракан страницӑсем"],"wgPageViewLanguage":"cv","wgPageContentLanguage":"cv","wgPageContentModel":"wikitext","wgRelevantPageName":"Риман_геометрийĕ","wgRelevantArticleId":13645,"wgIsProbablyEditable": true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"cv","pageLanguageDir":"ltr","pageVariantFallbacks":"cv"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":4000,"wgRelatedArticlesCompat":[],"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q761383","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false, "wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["site","mediawiki.page.ready","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.urlShortener.toolbar","ext.centralauth.centralautologin","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions", "wikibase.client.vector-2022","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=cv&modules=ext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=cv&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=cv&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.5"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Риман геометрийĕ — Википеди"> <meta property="og:type" content="website"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//cv.m.wikipedia.org/wiki/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95"> <link rel="alternate" type="application/x-wiki" title="Тӳрлет" href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Википеди (cv)"> <link rel="EditURI" type="application/rsd+xml" href="//cv.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://cv.wikipedia.org/wiki/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.cv"> <link rel="alternate" type="application/atom+xml" title="Википеди - Atom хăю" href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%A1%D0%B2%D0%B5%D0%B6%D0%B8%D0%B5_%D0%BF%D1%80%D0%B0%D0%B2%D0%BA%D0%B8&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Риман_геометрийĕ rootpage-Риман_геометрийĕ skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Контент патне куҫ</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Сайт"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Тӗп меню" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Тӗп меню</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Тӗп меню</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">айккинчи панеле куҫарса ларт</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">пытар</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Навигаци </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/%D0%A2%C4%95%D0%BF_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B0" title="Тӗп страницӑна куҫ [z]" accesskey="z"><span>Тӗп страница</span></a></li><li id="n-index" class="mw-list-item"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8:%D0%A2%D1%83%D0%BF%D0%BC%D0%B0%D0%BB%D0%BB%D0%B8"><span>А-Я индекс</span></a></li><li id="n-newpages" class="mw-list-item"><a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%9D%D0%BE%D0%B2%D1%8B%D0%B5_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D1%8B"><span>Ҫӗнӗ страницӑсем</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%A1%D0%B2%D0%B5%D0%B6%D0%B8%D0%B5_%D0%BF%D1%80%D0%B0%D0%B2%D0%BA%D0%B8" title="Юлашки улшӑнусен йышӗ [r]" accesskey="r"><span>Улшăннисем</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%A1%D0%BB%D1%83%D1%87%D0%B0%D0%B9%D0%BD%D0%B0%D1%8F_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B0" title="Ӑнсӑртран суйланӑ страницӑпа паллаш [x]" accesskey="x"><span>Ăнсăртран лекнĕ страница</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/%D0%A5%D1%8B%D0%BF%D0%B0%D1%80%D1%81%D0%B5%D0%BC" title="Хальхи пулӑмсем ҫинчен"><span>Хыпарсем</span></a></li> </ul> </div> </div> <div id="p-Хутшăнасси" class="vector-menu mw-portlet mw-portlet-Хутшăнасси" > <div class="vector-menu-heading"> Хутшăнасси </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-portal" class="mw-list-item"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8:%D0%9F%D0%BE%D1%80%D1%82%D0%B0%D0%BB" title="Проект пирки, кунта мӗн тума май пулли ҫинчен, тата ӑҫта мӗн вырнаҫни пирки"><span>Портал</span></a></li><li id="n-villagepump" class="mw-list-item"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8:%D0%9A%D0%B0%D0%BD%D0%B0%D1%88%D0%BB%D1%83"><span>Канашлу</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8:%D0%9F%D1%83%D0%BB%C4%83%D1%88%D1%83" title="Ыйтса пӗлмелли вырӑн"><span>Пулăшу</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/%D0%A2%C4%95%D0%BF_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B0" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Википеди" src="/static/images/mobile/copyright/wikipedia-wordmark-cv.svg" style="width: 7.5em; height: 1.3125em;"> <img class="mw-logo-tagline" alt="" src="/static/images/mobile/copyright/wikipedia-tagline-cv.svg" width="120" height="14" style="width: 7.5em; height: 0.875em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%9F%D0%BE%D0%B8%D1%81%D0%BA" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Шырав [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Шырамалли</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Википеди сайтра шыра" aria-label="Википеди сайтра шыра" autocapitalize="sentences" title="Шырав [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Ятарлă:Поиск"> </div> <button class="cdx-button cdx-search-input__end-button">Шыра</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Ман хатĕрсем"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Курӑнакан калӑплав"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Измените внешний вид страницы, размер, ширину и цвет шрифта." > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Курӑнакан калӑплав" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Курӑнакан калӑплав</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_cv.wikipedia.org&uselang=cv" class=""><span>Нимелле пулӑшу</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%A1%D0%BE%D0%B7%D0%B4%D0%B0%D1%82%D1%8C_%D1%83%D1%87%D1%91%D1%82%D0%BD%D1%83%D1%8E_%D0%B7%D0%B0%D0%BF%D0%B8%D1%81%D1%8C&returnto=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD+%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" title="Эпир сире, кӑна тума кирлех мар пулин те, аккаунт хатӗрлесе системӑна кӗме сӗнетпӗр" class=""><span>Аккаунт хатӗрле</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%92%D1%85%D0%BE%D0%B4&returnto=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD+%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" title="Аккаунт хатӗрлесе кӗрӗр, анчах ку кирлех мар [o]" accesskey="o" class=""><span>Кӗр</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Анлӑрах опцисем" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Ман хатĕрсем" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Ман хатĕрсем</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Хутшӑнакан менюйӗ" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_cv.wikipedia.org&uselang=cv"><span>Нимелле пулӑшу</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%A1%D0%BE%D0%B7%D0%B4%D0%B0%D1%82%D1%8C_%D1%83%D1%87%D1%91%D1%82%D0%BD%D1%83%D1%8E_%D0%B7%D0%B0%D0%BF%D0%B8%D1%81%D1%8C&returnto=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD+%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" title="Эпир сире, кӑна тума кирлех мар пулин те, аккаунт хатӗрлесе системӑна кӗме сӗнетпӗр"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Аккаунт хатӗрле</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%92%D1%85%D0%BE%D0%B4&returnto=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD+%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" title="Аккаунт хатӗрлесе кӗрӗр, анчах ку кирлех мар [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Кӗр</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Системӑна кӗменнисем валли хатӗрленӗ страницӑсем <a href="/wiki/%D0%9F%D1%83%D0%BB%C4%83%D1%88%D1%83:%D0%9F%D1%83%D2%AB%D0%BB%D0%B0%D0%BC%D3%91%D1%88" aria-label="Тӳрлетесси пирки тӗплӗнрех"><span>ытларах пӗл</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%9C%D0%BE%D0%B9_%D0%B2%D0%BA%D0%BB%D0%B0%D0%B4" title="Ку IP адресран тунӑ тӳрлетӳсем [y]" accesskey="y"><span>Хывнӑ тӳпе</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%9C%D0%BE%D1%91_%D0%BE%D0%B1%D1%81%D1%83%D0%B6%D0%B4%D0%B5%D0%BD%D0%B8%D0%B5" title="IP адресӑн сӳтсе яву страници [n]" accesskey="n"><span>Сӳтсе явни</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Сайт"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Тупмалли" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Тупмалли</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">айккинчи панеле куҫарса ларт</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">пытар</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Пуҫламӑш</div> </a> </li> <li id="toc-Истори" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Истори"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Истори</span> </div> </a> <ul id="toc-Истори-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Çав._пекех" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Çав._пекех"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Çав. пекех</span> </div> </a> <ul id="toc-Çав._пекех-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Литература" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Литература"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Литература</span> </div> </a> <ul id="toc-Литература-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Тупмалли" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Контента Курӑмлатас/Пытарас" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Контента Курӑмлатас/Пытарас</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Риман геометрийĕ</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Урӑх чӗлхери статья патне куҫ. 38 чӗлхелли пур" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-38" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">38 чӗлхе</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%87%D9%86%D8%AF%D8%B3%D8%A9_%D8%B1%D9%8A%D9%85%D8%A7%D9%86%D9%8A%D8%A9" title="هندسة ريمانية — арап" lang="ar" hreflang="ar" data-title="هندسة ريمانية" data-language-autonym="العربية" data-language-local-name="арап" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Xeometr%C3%ADa_de_Riemann" title="Xeometría de Riemann — астурийский" lang="ast" hreflang="ast" data-title="Xeometría de Riemann" data-language-autonym="Asturianu" data-language-local-name="астурийский" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Riman_h%C9%99nd%C9%99s%C9%99si" title="Riman həndəsəsi — азербайджанский" lang="az" hreflang="az" data-title="Riman həndəsəsi" data-language-autonym="Azərbaycanca" data-language-local-name="азербайджанский" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Риманова геометрия — болгарский" lang="bg" hreflang="bg" data-title="Риманова геометрия" data-language-autonym="Български" data-language-local-name="болгарский" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Geometria_riemanniana" title="Geometria riemanniana — каталанский" lang="ca" hreflang="ca" data-title="Geometria riemanniana" data-language-autonym="Català" data-language-local-name="каталанский" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Riemannova_geometrie" title="Riemannova geometrie — чешский" lang="cs" hreflang="cs" data-title="Riemannova geometrie" data-language-autonym="Čeština" data-language-local-name="чешский" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Riemannsk_geometri" title="Riemannsk geometri — датский" lang="da" hreflang="da" data-title="Riemannsk geometri" data-language-autonym="Dansk" data-language-local-name="датский" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Riemannsche_Geometrie" title="Riemannsche Geometrie — нимӗҫ" lang="de" hreflang="de" data-title="Riemannsche Geometrie" data-language-autonym="Deutsch" data-language-local-name="нимӗҫ" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Riemannian_geometry" title="Riemannian geometry — акӑлчан" lang="en" hreflang="en" data-title="Riemannian geometry" data-language-autonym="English" data-language-local-name="акӑлчан" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Geometr%C3%ADa_de_Riemann" title="Geometría de Riemann — испани" lang="es" hreflang="es" data-title="Geometría de Riemann" data-language-autonym="Español" data-language-local-name="испани" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Riemanni_geomeetria" title="Riemanni geomeetria — эстонский" lang="et" hreflang="et" data-title="Riemanni geomeetria" data-language-autonym="Eesti" data-language-local-name="эстонский" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Riemannen_geometria" title="Riemannen geometria — баскский" lang="eu" hreflang="eu" data-title="Riemannen geometria" data-language-autonym="Euskara" data-language-local-name="баскский" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%87%D9%86%D8%AF%D8%B3%D9%87_%D8%B1%DB%8C%D9%85%D8%A7%D9%86%DB%8C" title="هندسه ریمانی — персидский" lang="fa" hreflang="fa" data-title="هندسه ریمانی" data-language-autonym="فارسی" data-language-local-name="персидский" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Riemannin_geometria" title="Riemannin geometria — финский" lang="fi" hreflang="fi" data-title="Riemannin geometria" data-language-autonym="Suomi" data-language-local-name="финский" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/G%C3%A9om%C3%A9trie_riemannienne" title="Géométrie riemannienne — франци" lang="fr" hreflang="fr" data-title="Géométrie riemannienne" data-language-autonym="Français" data-language-local-name="франци" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Xeometr%C3%ADa_de_Riemann" title="Xeometría de Riemann — галисийский" lang="gl" hreflang="gl" data-title="Xeometría de Riemann" data-language-autonym="Galego" data-language-local-name="галисийский" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B0%E0%A5%80%E0%A4%AE%E0%A4%BE%E0%A4%A8%E0%A5%80_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="रीमानी ज्यामिति — хинди" lang="hi" hreflang="hi" data-title="रीमानी ज्यामिति" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8C%D5%AB%D5%B4%D5%A1%D5%B6%D5%B5%D5%A1%D5%B6_%D5%A5%D6%80%D5%AF%D6%80%D5%A1%D5%B9%D5%A1%D6%83%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Ռիմանյան երկրաչափություն — армянский" lang="hy" hreflang="hy" data-title="Ռիմանյան երկրաչափություն" data-language-autonym="Հայերեն" data-language-local-name="армянский" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Geometri_Riemann" title="Geometri Riemann — индонези" lang="id" hreflang="id" data-title="Geometri Riemann" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонези" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Geometria_riemanniana" title="Geometria riemanniana — итали" lang="it" hreflang="it" data-title="Geometria riemanniana" data-language-autonym="Italiano" data-language-local-name="итали" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%AA%E3%83%BC%E3%83%9E%E3%83%B3%E5%B9%BE%E4%BD%95%E5%AD%A6" title="リーマン幾何学 — япони" lang="ja" hreflang="ja" data-title="リーマン幾何学" data-language-autonym="日本語" data-language-local-name="япони" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Риман геометриясы — казахский" lang="kk" hreflang="kk" data-title="Риман геометриясы" data-language-autonym="Қазақша" data-language-local-name="казахский" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A6%AC%EB%A7%8C_%EA%B8%B0%ED%95%98%ED%95%99" title="리만 기하학 — корей" lang="ko" hreflang="ko" data-title="리만 기하학" data-language-autonym="한국어" data-language-local-name="корей" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Riemann-meetkunde" title="Riemann-meetkunde — голланди" lang="nl" hreflang="nl" data-title="Riemann-meetkunde" data-language-autonym="Nederlands" data-language-local-name="голланди" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Riemanns_differensialgeometri" title="Riemanns differensialgeometri — норвежский букмол" lang="nb" hreflang="nb" data-title="Riemanns differensialgeometri" data-language-autonym="Norsk bokmål" data-language-local-name="норвежский букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B0%E0%A9%80%E0%A8%AE%E0%A8%BE%E0%A8%A8%E0%A9%80%E0%A8%85%E0%A8%A8_%E0%A8%9C%E0%A9%80%E0%A8%93%E0%A8%AE%E0%A9%88%E0%A8%9F%E0%A9%8D%E0%A8%B0%E0%A9%80" title="ਰੀਮਾਨੀਅਨ ਜੀਓਮੈਟ੍ਰੀ — панджаби" lang="pa" hreflang="pa" data-title="ਰੀਮਾਨੀਅਨ ਜੀਓਮੈਟ੍ਰੀ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="панджаби" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Geometria_de_Riemann" title="Geometria de Riemann — португали" lang="pt" hreflang="pt" data-title="Geometria de Riemann" data-language-autonym="Português" data-language-local-name="португали" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Риманова геометрия — вырӑс" lang="ru" hreflang="ru" data-title="Риманова геометрия" data-language-autonym="Русский" data-language-local-name="вырӑс" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Riemannova_geometrija" title="Riemannova geometrija — сербскохорватский" lang="sh" hreflang="sh" data-title="Riemannova geometrija" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="сербскохорватский" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Rimanova_geometrija" title="Rimanova geometrija — сербский" lang="sr" hreflang="sr" data-title="Rimanova geometrija" data-language-autonym="Српски / srpski" data-language-local-name="сербский" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Riemanngeometri" title="Riemanngeometri — шведский" lang="sv" hreflang="sv" data-title="Riemanngeometri" data-language-autonym="Svenska" data-language-local-name="шведский" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Heometriyang_Riemanniano" title="Heometriyang Riemanniano — тагалог" lang="tl" hreflang="tl" data-title="Heometriyang Riemanniano" data-language-autonym="Tagalog" data-language-local-name="тагалог" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Riemann_geometrisi" title="Riemann geometrisi — турккӑ" lang="tr" hreflang="tr" data-title="Riemann geometrisi" data-language-autonym="Türkçe" data-language-local-name="турккӑ" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A0%D1%96%D0%BC%D0%B0%D0%BD%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D1%96%D1%8F" title="Ріманова геометрія — украинский" lang="uk" hreflang="uk" data-title="Ріманова геометрія" data-language-autonym="Українська" data-language-local-name="украинский" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Riemann_geometriyasi" title="Riemann geometriyasi — узбекский" lang="uz" hreflang="uz" data-title="Riemann geometriyasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="узбекский" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%C3%ACnh_h%E1%BB%8Dc_Riemann" title="Hình học Riemann — вьетнамский" lang="vi" hreflang="vi" data-title="Hình học Riemann" data-language-autonym="Tiếng Việt" data-language-local-name="вьетнамский" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%BB%8E%E6%9B%BC%E5%87%A0%E4%BD%95" title="黎曼几何 — китай" lang="zh" hreflang="zh" data-title="黎曼几何" data-language-autonym="中文" data-language-local-name="китай" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%BB%8E%E6%9B%BC%E5%B9%BE%E4%BD%95" title="黎曼幾何 — кантонский" lang="yue" hreflang="yue" data-title="黎曼幾何" data-language-autonym="粵語" data-language-local-name="кантонский" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q761383#sitelinks-wikipedia" title="Чӗлхесем хушшинчи каҫӑсем" class="wbc-editpage">Каҫӑсене тӳрлет</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Ятсен уҫлӑхӗ"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" title="Статьяна пăх [c]" accesskey="c"><span>Страница</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%A1%D3%B3%D1%82%D1%81%D0%B5_%D1%8F%D0%B2%D0%B0%D1%81%D1%81%D0%B8:%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=edit&redlink=1" rel="discussion" class="new" title="Статьяна сӳтсе явасси (хальлӗхе хатӗрлемен-ха) [t]" accesskey="t"><span>Сӳтсе яв</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Чӗлхе вариантне улӑштар" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">чӑвашла</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Пурĕ пăхнă"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95"><span>Вула</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&veaction=edit" title="Кăна тӳрлет [v]" accesskey="v"><span>Тӳрлет</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=edit" title="Править исходный текст этой страницы [e]" accesskey="e"><span>Кодне тӳрлет</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=history" title="Страницӑна улӑштарнин журналӗ [h]" accesskey="h"><span>Истори</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Страницӑсен хатӗр-хӗтӗрӗ"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Хатĕрсем" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Хатĕрсем</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Хатӗрсем</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">айккинчи панеле куҫарса ларт</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">пытар</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Анлӑрах опцисем" > <div class="vector-menu-heading"> Ӗҫсем </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95"><span>Вула</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&veaction=edit" title="Кăна тӳрлет [v]" accesskey="v"><span>Тӳрлет</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=edit" title="Править исходный текст этой страницы [e]" accesskey="e"><span>Кодне тӳрлет</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=history"><span>Истори</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Пӗтӗмӗшле </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%A1%D1%81%D1%8B%D0%BB%D0%BA%D0%B8_%D1%81%D1%8E%D0%B4%D0%B0/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" title="Кунта куҫаракан мӗнпур страницӑн ят-йышӗ [j]" accesskey="j"><span>Кунта каҫараканнисем</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%A1%D0%B2%D1%8F%D0%B7%D0%B0%D0%BD%D0%BD%D1%8B%D0%B5_%D0%BF%D1%80%D0%B0%D0%B2%D0%BA%D0%B8/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" rel="nofollow" title="Ку страницӑра кӑтартнӑ каҫӑсенче вырнаҫнӑ страницӑсенчи юлашки улшӑнусем [k]" accesskey="k"><span>Ҫыхӑннӑ улшӑнусем</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=cv" title="Файлсене тиесси [u]" accesskey="u"><span>Файл тие</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%A1%D0%BF%D0%B5%D1%86%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D1%8B" title="Ятарлӑ страницӑсен йышӗ [q]" accesskey="q"><span>Ятарлă страницăсем</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&oldid=797738" title="Страницӑн ҫак версине кӑтартакан яланхи каҫӑ"><span>Яланхи вырăн</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=info" title="Ку страница ҫинчен тӗплӗнрех"><span>Страница ҫинчен</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%A6%D0%B8%D1%82%D0%B0%D1%82%D0%B0&page=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&id=797738&wpFormIdentifier=titleform" title="Ҫак эле мӗнле цитатӑласси"><span>Страницăна цитатăла</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:UrlShortener&url=https%3A%2F%2Fcv.wikipedia.org%2Fwiki%2F%25D0%25A0%25D0%25B8%25D0%25BC%25D0%25B0%25D0%25BD_%25D0%25B3%25D0%25B5%25D0%25BE%25D0%25BC%25D0%25B5%25D1%2582%25D1%2580%25D0%25B8%25D0%25B9%25C4%2595"><span>Кӗске URL адреса ил</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:QrCode&url=https%3A%2F%2Fcv.wikipedia.org%2Fwiki%2F%25D0%25A0%25D0%25B8%25D0%25BC%25D0%25B0%25D0%25BD_%25D0%25B3%25D0%25B5%25D0%25BE%25D0%25BC%25D0%25B5%25D1%2582%25D1%2580%25D0%25B8%25D0%25B9%25C4%2595"><span>QR-код уҫласа ил</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Пичет/экспорт </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%9A%D0%BE%D0%BB%D0%BB%D0%B5%D0%BA%D1%86%D0%B8%D1%8F_%D0%BA%D0%BD%D0%B8%D0%B3&bookcmd=book_creator&referer=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD+%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95"><span>Кĕнеке тумалли</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:DownloadAsPdf&page=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=show-download-screen"><span>PDF пек уҫласа ил</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&printable=yes" title="Ҫак страницӑн пичет версийӗ [p]" accesskey="p"><span>Пичет версийĕ</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Ытти проектсенче </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Riemannian_geometry" hreflang="en"><span>Викисклад</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q761383" title="Ссылка на связанный элемент репозитория данных [g]" accesskey="g"><span>Wikidata элеменчӗ</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Страницӑсен хатӗр-хӗтӗрӗ"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Курӑнакан калӑплав"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Курӑнакан калӑплав</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">айккинчи панеле куҫарса ларт</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">пытар</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">«Википеди» ирĕклĕ энциклопединчи материал</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="cv" dir="ltr"><p><b>Риман геометрийĕ</b> (<b>Риманла геометри</b>) — <a href="/wiki/%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D0%BB%C4%83_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8" title="Дифференциаллă геометри">дифференциаллă геометри</a> уйрăмĕ, тĕпчемелли тĕп объекчĕсем — "Риман нумайтĕрлĕхĕсем". </p><p>Риман геометрийĕн тĕп пайĕ — пĕтĕмĕшлĕ геометри, çак уйрăм риман нумайевĕрлĕхĕн пĕтĕмлĕхлĕ (глобаллă) пахалăхсен çыхăнăвĕсене тупса палăртать, çавсен шутĕнче: <a href="/wiki/%D0%A2%D0%BE%D0%BF%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8" title="Топологи">топологине</a>, диаметра, калăпăша — кунсăр пуçне тата тата унăн вырăнти (локаллĕ) пахалăхĕсенне те, тĕслĕхрен, <a href="/wiki/%D0%9A%D1%83%D0%BA%C4%83%D1%80%D0%BB%C4%83%D1%85" title="Кукăрлăх">кукăрлăх</a> тĕлĕшпе чикĕлесе карталанине. </p> <div class="mw-heading mw-heading2"><h2 id="Истори"><span id=".D0.98.D1.81.D1.82.D0.BE.D1.80.D0.B8"></span>Истори</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&veaction=edit&section=1" title="Истори пая тӳрлет" class="mw-editsection-visualeditor"><span>тӳрлет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=edit&section=1" title="Редактировать код раздела «Истори»"><span>кодне тӳрлет</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Риман геометрине ăслава илсе килекенĕ — нимĕç математикĕ <a href="/wiki/%D0%91%D0%B5%D1%80%D0%BD%D1%85%D0%B0%D1%80%D0%B4_%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD" title="Бернхард Риман">Бернхард Риман</a>, вăл <a href="/wiki/1854" title="1854">1854</a> çулта унăн тĕп палăртăвĕсене çырса пĕлтерет. Пичетленĕ ĕçĕсем хыççăн Риманăн шухăшĕсем чылай математиксен пуç мимине ыйтусемпе кăсăклантараççĕ. Ытти ăсчахсем риман геометрийĕн аналитикăллă аппаратне малалла аталантараççĕ, геометрилле çĕнĕ теоремăсене çирĕплетсе хураççĕ. Риман геометрине аталантарса итал геометрĕсем <a href="/w/index.php?title=%D0%93%D1%80%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D0%BE_%D0%A0%D0%B8%D1%87%D1%87%D0%B8-%D0%9A%D1%83%D1%80%D0%B1%D0%B0%D1%81%D1%82%D1%80%D0%BE&action=edit&redlink=1" class="new" title="Грегорио Риччи-Курбастро (хальлӗхе хатӗрлемен-ха)">Грегорио Риччи-Курбастро</a> тата унăн вĕренекенĕ <a href="/w/index.php?title=%D0%A2%D1%83%D0%BB%D0%BB%D0%B8%D0%BE_%D0%9B%D0%B5%D0%B2%D0%B8-%D0%A7%D0%B8%D0%B2%D0%B8%D1%82%D0%B0&action=edit&redlink=1" class="new" title="Туллио Леви-Чивита (хальлӗхе хатӗрлемен-ха)">Туллио Леви-Чивита</a> <a href="/w/index.php?title=XX_%D0%B5%D0%BC%C4%95%D1%80&action=edit&redlink=1" class="new" title="XX емĕр (хальлӗхе хатӗрлемен-ха)">XX емĕр</a> пуçламăшĕнче <a href="/w/index.php?title=%D0%A2%D0%B5%D0%BD%D0%B7%D0%BE%D1%80%D0%BB%C4%83_%D1%88%D1%83%D1%82%D0%BB%D0%B0%D0%B2&action=edit&redlink=1" class="new" title="Тензорлă шутлав (хальлӗхе хатӗрлемен-ха)">тензорлă шутлава</a> никĕслеççĕ. Риман геометрийĕн палартăвĕсемпе <a href="/w/index.php?title=%D0%9F%C4%95%D1%80%D0%BB%D0%B5%D1%85%D0%B8_%D1%80%D0%B5%D0%BB%D1%8F%D1%82%D0%B8%D0%B2%D0%B8%D0%B7%D0%BC_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D0%B9%C4%95&action=edit&redlink=1" class="new" title="Пĕрлехи релятивизм теорийĕ (хальлӗхе хатӗрлемен-ха)">пĕтĕмĕшле танлаштарулăх теорине</a> туса хунă чухне усă курнă. Çак ĕнтĕ Риман геометрине тата анлăрах аталанма хистенĕ тата майсем те туса панă. Хальхи вахăтра Риман геометрийĕ тата унăн пĕтĕмлетĕвĕсем ăнăçлă аталанса пыракан анлă талккăш шутланаççĕ. </p> <div class="mw-heading mw-heading2"><h2 id="Çав._пекех"><span id=".C3.87.D0.B0.D0.B2._.D0.BF.D0.B5.D0.BA.D0.B5.D1.85"></span>Çав. пекех</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&veaction=edit&section=2" title="Çав. пекех пая тӳрлет" class="mw-editsection-visualeditor"><span>тӳрлет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=edit&section=2" title="Редактировать код раздела «Çав. пекех»"><span>кодне тӳрлет</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" title="Евклид геометрийĕ">Евклид геометрийĕ</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Литература"><span id=".D0.9B.D0.B8.D1.82.D0.B5.D1.80.D0.B0.D1.82.D1.83.D1.80.D0.B0"></span>Литература</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&veaction=edit&section=3" title="Литература пая тӳрлет" class="mw-editsection-visualeditor"><span>тӳрлет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&action=edit&section=3" title="Редактировать код раздела «Литература»"><span>кодне тӳрлет</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><i>Бураго Ю. Д., Залгаллер В. А.</i> Введение в риманову геометрию. — Санкт-Петербург: Наука, 1994. — <a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%98%D1%81%D1%82%D0%BE%D1%87%D0%BD%D0%B8%D0%BA%D0%B8_%D0%BA%D0%BD%D0%B8%D0%B3/5020246069" class="internal mw-magiclink-isbn">ISBN 5-02-024606-9</a></li> <li><i>Рашевский П. К.</i> Риманова геометрия и тензорный анализ. — М.: Наука, 1967.</li> <li><i>Дубровин Б. А., Новиков С. П., <a href="/w/index.php?title=%D0%A4%D0%BE%D0%BC%D0%B5%D0%BD%D0%BA%D0%BE_%D0%90._%D0%A2.&action=edit&redlink=1" class="new" title="Фоменко А. Т. (хальлӗхе хатӗрлемен-ха)">Фоменко А. Т.</a></i> Современная геометрия. Методы и приложения. — М.: Наука, 1979.</li> <li><i>Постников М. М.</i> Риманова геометрия (Лекции по геометрии. семестр V) — М.: Факториал Пресс, 1998. 496 с.</li> <li><i>Громол Д., Клингенберг В., Мейер В.</i> Риманова геометрия в целом. — М.: Мир, 1971</li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Çăлкуç — «<a dir="ltr" href="https://cv.wikipedia.org/w/index.php?title=Риман_геометрийĕ&oldid=797738">https://cv.wikipedia.org/w/index.php?title=Риман_геометрийĕ&oldid=797738</a>»</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%D0%AF%D1%82%D0%B0%D1%80%D0%BB%C4%83:%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D0%B8" title="Ятарлă:Категории">Категорисем</a>: <ul><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8:%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD%D0%BB%D0%B0_(%D1%82%D0%B0%D1%82%D0%B0_%D0%BF%D1%81%D0%B5%D0%B2%D0%B4%D0%BE-%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD%D0%BB%D0%B0)_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8" title="Категори:Риманла (тата псевдо-Риманла) геометри">Риманла (тата псевдо-Риманла) геометри</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8:%D0%9D%D1%83%D0%BC%D0%B0%D0%B9%D1%81%C4%83%D0%BD%D0%B0%D1%80%D0%BB%C4%83%D1%85%D1%81%D0%B5%D0%BD_%D1%81%D1%82%D1%80%D1%83%D0%BA%D1%82%D1%83%D1%80%D0%B8%D1%81%D0%B5%D0%BC" title="Категори:Нумайсăнарлăхсен структурисем">Нумайсăнарлăхсен структурисем</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8:%D0%90%D1%81%D0%B0%D0%BC%D0%BB%D3%91_ISBN_%D0%BA%D0%B0%D2%AB%D3%91%D1%81%D0%B5%D0%BC%D0%BF%D0%B5_%D1%83%D1%81%D3%91_%D0%BA%D1%83%D1%80%D0%B0%D0%BA%D0%B0%D0%BD_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D3%91%D1%81%D0%B5%D0%BC" title="Категори:Асамлӑ ISBN каҫӑсемпе усӑ куракан страницӑсем">Асамлӑ ISBN каҫӑсемпе усӑ куракан страницӑсем</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Ку страницăна юлашки хут 22 Утӑ уйӑхӗн 2023 08:31 улӑштарнӑ.</li> <li id="footer-info-copyright">Текст <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.ru">Creative Commons Attribution-ShareAlike лицензипе</a> сарӑлать, хӑшпӗр чухне хушма условисем пулма пултараҫҫӗ. Тӗплӗнрех <a class="external text" href="https://foundation.wikimedia.org/wiki/Условия_использования">Усӑ курмалли условисем</a> пӑх.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy/ru">Конфиденциальность йĕркисем</a></li> <li id="footer-places-about"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8:%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8_%C3%A7%D0%B8%D0%BD%D1%87%D0%B5%D0%BD">Википеди çинчен</a></li> <li id="footer-places-disclaimers"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8:%D0%AF%D0%B2%D0%B0%D0%BF%D0%BB%D3%91%D1%85%D0%B0_%D0%B8%D0%BB%D0%BC%D0%B5%D0%BD%D0%BD%D0%B8">Яваплӑха илменни</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Кодекс поведения</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Разработчиксем</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/cv.wikipedia.org">Статистика</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Кукес пирки пӗлтерни</a></li> <li id="footer-places-mobileview"><a href="//cv.m.wikipedia.org/w/index.php?title=%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Мобильлӗ верси</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-5c59558b9d-rtj9b","wgBackendResponseTime":211,"wgPageParseReport":{"limitreport":{"cputime":"0.010","walltime":"0.013","ppvisitednodes":{"value":116,"limit":1000000},"postexpandincludesize":{"value":846,"limit":2097152},"templateargumentsize":{"value":302,"limit":2097152},"expansiondepth":{"value":5,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":19,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 2.295 1 Шаблон:Кĕнеке","100.00% 2.295 1 -total"]},"cachereport":{"origin":"mw-api-int.codfw.main-6fdd9f9b88-6wjnb","timestamp":"20241129233428","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"\u0420\u0438\u043c\u0430\u043d \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0439\u0115","url":"https:\/\/cv.wikipedia.org\/wiki\/%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95","sameAs":"http:\/\/www.wikidata.org\/entity\/Q761383","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q761383","author":{"@type":"Organization","name":"Contributors to Wikimedia projects"},"publisher":{"@type":"Organization","name":"\u0424\u043e\u043d\u0434 \u0412\u0438\u043a\u0438\u043c\u0435\u0434\u0438\u0430","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2008-03-23T10:42:42Z","dateModified":"2023-07-22T08:31:55Z"}</script> </body> </html>