Some regularity theorems in riemannian geometry

<!DOCTYPE html> <html lang="fr"> <head> <title> Some regularity theorems in riemannian geometry </title> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/> <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1.0, minimum-scale=1.0"> <meta name="citation_doi" content="10.24033/asens.1405"> <meta name="citation_title" content="Some regularity theorems in riemannian geometry"> <meta name="citation_author" content="Deturck, Dennis M."><meta name="citation_author" content="Kazdan, Jerry L."> <meta name="citation_publication_date" content="1981"> <meta name="citation_journal_title" content="Annales scientifiques de l'脡cole Normale Sup茅rieure"> <meta name="citation_issn" content="1873-2151"> <meta name="citation_volume" content="14"> <meta name="citation_issue" content="3"> <meta name="citation_firstpage" content="249"> <meta name="citation_lastpage" content="260"> <meta name="citation_pdf_url" content="http://www.numdam.org/item/10.24033/asens.1405.pdf"> <link rel="shortcut icon" type="image/x-icon" href="/static/numdam/img/numdam_favicon.ico"> <link rel="stylesheet" href="//fonts.googleapis.com/css?family=Lato"/> <link rel="stylesheet" href="/static/ptf/vendors/bootstrap/css/bootstrap.min.css"/> <link rel="stylesheet" href="/static/ptf/vendors/font-awesome/css/font-awesome.min.css"> <link rel="stylesheet" href="/static/ptf/vendors/lightbox/css/lightbox.css"> <link rel="stylesheet" href="/static/ptf/css/ptf.css" type="text/css"/> <link rel="stylesheet" href="/static/ptf/css/search-bar.css" type="text/css"/> <link rel="stylesheet" href="/static/numdam/vendors/owl-carousel/css/owl.carousel.css"> <link rel="stylesheet" href="/static/numdam/vendors/owl-carousel/css/owl.theme.css"> <link rel="stylesheet" href="/static/numdam/css/numdam.css" type="text/css"/> </head> <body id="page-" style="font-family: ;font-size: px;"> <div id="main"> <div id="top"> <div id="bandeau"> <div style="float:left"> <a href="/" class='no-focus'> <img src="/static/numdam/img/numdam_logo.gif" title='Accueil' alt='Accueil' class='logo no-text-decoration'/> </a> </div> <div class="bandeau-background"> <div style="float:left;width:calc(50% - 16px)"> </div> <div style="float:left" class="smartphone"> <div class="dropdown"> <button class="btn light-blue dropdown-toggle" type="button" data-toggle="dropdown"> <img src='/static/mersenne_cms/img/main-menu.svg' alt='main-menu'/> </button> <ul class="dropdown-menu"> <li><a href="/journals/">Revues</a></li> <li><a href="/actas/">S茅minaires</a></li> <li><a href="/books/">Livres</a></li> <li><a href="/lectures">Notes de cours</a></li> <li><a href="/thesis">Th猫ses</a></li> <li><a href="/authors">Auteurs</a></li> </ul> </div> </div> </div> <div class="onoffswitch-group"> <div id="language-switch" title="Cliquer pour afficher le site en anglais"> <form id="language-switch-form" action="/i18n/setlang/" method="post"><input type="hidden" name="csrfmiddlewaretoken" value="JPCHmYegDL8MGZtfvY5VYwred7MYRFYFK6NBWGkX7NK5mVxZKHXrgco9syLNultW"> <div class="onoffswitch" id="lang_flags"> <input type="checkbox" name="language" value="en" class="onoffswitch-checkbox" id="lang_onoffswitch" checked> <label class="onoffswitch-label" for="lang_onoffswitch"> <span class="onoffswitch-inner" data-on="" data-off=""></span> <span class="onoffswitch-switch"></span> </label> </div> </form> </div> <div id="mathml-switch" title="Cliquer pour afficher le code source TeX" > <form action="/set-formula-display/" method="post"><input type="hidden" name="csrfmiddlewaretoken" value="JPCHmYegDL8MGZtfvY5VYwred7MYRFYFK6NBWGkX7NK5mVxZKHXrgco9syLNultW"> <div class="onoffswitch"> <input type="checkbox" name="formula-display" value="tex" class="onoffswitch-checkbox" id="tex_onoffswitch" onclick="this.form.submit();" > <label class="onoffswitch-label" for="tex_onoffswitch"> <span class="onoffswitch-inner" data-on="TeX" data-off="TeX"></span> <div class="onoffswitch-switch"> <div class="onoffswitch-switch-label"> OFF</div> </div> </label> </div> </form> </div> </div> </div> <nav class="navbar navbar-default desktop"> <div class="container-fluid"> <ul class="nav navbar-nav"> <li class="active"><a href="/journals/">Revues</a></li> <li ><a href="/actas/">S茅minaires</a></li> <li ><a href="/books/">Livres</a></li> <li ><a href="/lectures">Notes de cours</a></li> <li ><a href="/thesis">Th猫ses</a></li> <li ><a href="/authors">Auteurs</a></li> </ul> </div> </nav> <div id="bandeau3"> <div class="container" id="search-bar"> <div> <form class="form-horizontal" method="post" action="/search"><input type="hidden" name="csrfmiddlewaretoken" value="JPCHmYegDL8MGZtfvY5VYwred7MYRFYFK6NBWGkX7NK5mVxZKHXrgco9syLNultW"> <div class="form-group"> <div class="col-sm-offset-1 col-xs-8" id="line-container"> <div class="input-group search-group"> <div class="search-group-inner"> <input class="searchinput form-control" type="text" name="q0" value="" placeholder="Rechercher des articles, des livres..."/> <span class="searchclear glyphicon glyphicon-remove"></span> </div> <div class="input-group-btn" id="search-group-btn"> <input type="hidden" name="qt0" value="all"> <button type="button" class="btn btn-default dropdown-toggle" data-toggle="dropdown" aria-haspopup="true" aria-expanded="false"> Tout <span class="caret"></span> </button> <ul class="dropdown-menu"> <li><a href="#">Tout</a></li> <li><a href="#">Auteur</a></li> <li><a href="#">Titre</a></li> <li><a href="#">Bibliographie</a></li> <li><a href="#">Mots cl茅s</a></li> <li><a href="#">Plein texte</a></li> </ul> <button id="add-search-field" type="button" class="btn btn-default"> <span class="glyphicon glyphicon-plus"></span> </button> </div> </div> </div> <div class="col-xs-2 search-button-div"> <button type="submit" class="btn search-button" name="Submit"> <span class="glyphicon glyphicon-search"></span> <span id="search-button-text">Rechercher</span> </button> <a href="/help/"><img src="/static/mersenne_cms/img/question.png"></a> </div> </div> </form> <div id="template-search-form" style="display:none"> <div class="input-group search-group search-group-added"> <div class="input-group-addon"> <input class="bt-checkbox" type="checkbox" name="not##i##" /> <span style="line-height:20px">NOT</span> </div> <div class="search-group-inner"> <input class="searchinput form-control" type="text" name="q##i##"/> <span class="searchclear glyphicon glyphicon-remove"></span> </div> <div style="display:none" class="bt-input-with-text">   <span class="bt-input-text-between">Entre</span> <input class="form-control-in" type="text" name="q-f-##i##" placeholder="Ann茅e" /> <span class="bt-input-text">et</span> <input class="form-control-in" type="text" name="q-l-##i##" placeholder="Ann茅e" />   </div> <span class="input-group-btn"> <input type="hidden" name="qt##i##" value="author"> <button type="button" class="btn btn-default dropdown-toggle" data-toggle="dropdown" aria-haspopup="true" aria-expanded="false"> Auteur <span class="caret"></span> </button> <ul class="dropdown-menu"> <li><a href="#">Tout</a></li> <li><a href="#">Auteur</a></li> <li><a href="#">Titre</a></li> <li><a href="#">Date</a></li> <li><a href="#">Bibliographie</a></li> <li><a href="#">Mots cl茅s</a></li> <li><a href="#">Plein texte</a></li> </ul> <button type="button" class="btn btn-default remove-search-field"> <span class="glyphicon glyphicon-minus"></span> </button> </span> </div> </div> </div> </div> </div> </div> <div class="container"> </div> <div id="content" class="wrapper-float"> <div id="left"> <div id="content_left"> </div> </div> <div id="center"> <div class="row breadcrumb-row"> <div class="col-xs-12"> <div class="breadcrumb-lg"> <div style="float:left"> <ul class="cms-breadcrumb"> <li class=""> <a href="/journals/ASENS/">Annales scientifiques de l'脡cole Normale Sup茅rieure</a> </li> <li class=""> <a href="/volume/ASENS_1981_4_14_3/">S茅rie 4 : Tome 14 (1981)</a> </li> <li class=""> <a href="/item/ASENS_1981_4_14_3/">no. 3</a> </li> <li class="active"> <a href="/articles/10.24033/asens.1405/">p. 249-260</a> </li> </ul> </div> <div style="float:left"> <ul class="cms-breadcrumb"> <li class="breadcrumb-next"> <a href="/articles/10.24033/asens.1406/">Suivant</a> </li> </ul> </div> </div> <div class="breadcrumb-sm"> <a href="/item/ASENS_1981_4_14_3/" class="btn btn-default">no. 3</a> <a href="/articles/10.24033/asens.1406/" class="btn btn-default"><i class="glyphicon glyphicon-chevron-right"></i></a> </div> <div class="clearfix"> </div> </div> </div> <div id="article-div" class="article-div" style="margin-left:-15px"> <div class="row " style="margin:0px"> <div class="col-xs-12"> <div style="font-size:18px;margin-bottom:10px"> <span class="common-title article-title"> Some regularity theorems in riemannian geometry </span> </div> <div class="article-author" style="display:inline-block"> <div style="margin-bottom:5px; font-size: 16px"> <a class="author_link" href="/search/%22Deturck,%20Dennis%20M.%22-c/">Deturck, Dennis M.</a> ; <a class="author_link" href="/search/%22Kazdan,%20Jerry%20L.%22-c/">Kazdan, Jerry L.</a> </div> </div> <div style="margin-bottom:10px"> Annales scientifiques de l'脡cole Normale Sup茅rieure, S茅rie 4, Tome 14 (1981) no. 3, pp. 249-260. </div> <div style="margin-top:20px;margin-bottom:10px"> <div class="wrapper-float"> <div style="float:left;margin-top:0px"> <a href="/item/10.24033/asens.1405.pdf" target="_blank"> <img src="/static/ptf/img/pdf.gif"> </a> <a href="/item/10.24033/asens.1405.djvu"> <img src="/static/ptf/img/djvu.png"> </a> </div> </div> </div> </div> </div> <div class="row" style="margin:0px"> <div class="col-xs-12"> <div style="margin-top:10px;margin-bottom:10px"> <ul class="nav nav-tabs article-tab"> <li class="nav-item active"><a class="nav-link active" data-bs-toggle="tab" data-toggle="tab" data-bs-target="#info-tab" href="#info-tab">D茅tail</a></li> <li class="nav-item"><a class="nav-link" data-bs-toggle="tab" data-toggle="tab" data-bs-target="#citation-tab" href="#citation-tab">Export</a></li> <li class="nav-item "> <a class="nav-link " data-bs-toggle="tab" data-toggle="tab" data-bs-target="#how-to-cite-tab" href="#how-to-cite-tab">Comment citer</a> </li> </ul> <div class="tab-content" style="margin-top:10px"> <div id="info-tab" class="tab-pane fade in active">  <div style="margin-top:5px"> <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=83f:53018" class="badge badge-secondary ref-badge extid-badge"> MR </a>   <a href="https://zbmath.org/?q=an:0486.53014" class="badge badge-secondary ref-badge extid-badge"> Zbl </a> | <a href="/articles/ASENS_1981_4_14_3_249_0/citations/"> 8 citations dans Numdam</a> </div> DOI : <a href="https://doi.org/10.24033/asens.1405">10.24033/asens.1405</a> <br> <div style="margin-top:5px"> </div> </div> <div id="citation-tab" class="tab-pane fade"> <div class="upper"> <ul class="nav nav-pills"> <li role="presentation" class="active"><a data-toggle="pill" href="#bibtex">BibTeX</a></li> <li role="presentation"><a data-toggle="pill" href="#ris">RIS</a></li> <li role="presentation"><a data-toggle="pill" href="#enw">EndNote</a></li> </ul> <div class="tab-content"> <div id="bibtex" class="tab-pane fade in active"> <pre class="upper-right-content" id="bibtex-div">@article{ASENS_1981_4_14_3_249_0, author = {Deturck, Dennis M. and Kazdan, Jerry L.}, title = {Some regularity theorems in riemannian geometry}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {249--260}, publisher = {Elsevier}, volume = {Ser. 4, 14}, number = {3}, year = {1981}, doi = {10.24033/asens.1405}, mrnumber = {83f:53018}, zbl = {0486.53014}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1405/} }</pre> <button class="fa fa-clipboard copy-button btn btn-primary" data-clipboard-action="copy" data-clipboard-target="#bibtex-div" aria-hidden="true" title="Copier dans le presse-papier"></button> <a class="fa fa-download export-button btn btn-primary" title="T茅l茅charger" href="/export_citation/ASENS_1981_4_14_3_249_0/bib/"></a> </div> <div id="ris" class="tab-pane fade"> <pre class="upper-right-content" id="ris-div">TY - JOUR AU - Deturck, Dennis M. AU - Kazdan, Jerry L. TI - Some regularity theorems in riemannian geometry JO - Annales scientifiques de l'脡cole Normale Sup茅rieure PY - 1981 SP - 249 EP - 260 VL - 14 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1405/ DO - 10.24033/asens.1405 LA - en ID - ASENS_1981_4_14_3_249_0 ER - </pre> <button class="fa fa-clipboard copy-button btn btn-primary" data-clipboard-action="copy" data-clipboard-target="#ris-div" aria-hidden="true" title="Copier dans le presse-papier"></button> <a class="fa fa-download export-button btn btn-primary" title="T茅l茅charger" href="/export_citation/ASENS_1981_4_14_3_249_0/ris/"></a> </div> <div id="enw" class="tab-pane fade"> <pre class="upper-right-content" id="enw-div">%0 Journal Article %A Deturck, Dennis M. %A Kazdan, Jerry L. %T Some regularity theorems in riemannian geometry %J Annales scientifiques de l'脡cole Normale Sup茅rieure %D 1981 %P 249-260 %V 14 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.24033/asens.1405/ %R 10.24033/asens.1405 %G en %F ASENS_1981_4_14_3_249_0</pre> <button class="fa fa-clipboard copy-button btn btn-primary" data-clipboard-action="copy" data-clipboard-target="#enw-div" aria-hidden="true" title="Copier dans le presse-papier"></button> <a class="fa fa-download export-button btn btn-primary" title="T茅l茅charger" href="/export_citation/ASENS_1981_4_14_3_249_0/enw/"></a> </div> </div> </div> </div> <div id="how-to-cite-tab" class="tab-pane fade "> <div class="upper-right"> <pre class="upper-right-content" id="how-to-cite-div">Deturck, Dennis M.; Kazdan, Jerry L. Some regularity theorems in riemannian geometry. Annales scientifiques de l'脡cole Normale Sup茅rieure, S茅rie 4, Tome 14 (1981) no. 3, pp. 249-260. doi : 10.24033/asens.1405. http://www.numdam.org/articles/10.24033/asens.1405/</pre> <button class="fa fa-clipboard copy-button btn btn-primary" data-clipboard-action="copy" data-clipboard-target="#how-to-cite-div" aria-hidden="true" title="Copier dans le presse-papier"></button> </div> </div> </div> </div> </div> </div> <div class="row" style="margin:0px"> <div class="col-xs-12"> <div style="margin-top:30px;margin-bottom:10px"> <ul class="nav nav-tabs article-tab" > <li class="nav-item active" id="main-citations-li" > <a class="nav-link" data-bs-toggle="tab" data-toggle="tab" data-bs-target="#references-tab" href="#references-tab">Bibliographie</a> </li> <li class="nav-item" id="citations-html" style="display:none"> <a class="nav-link" data-bs-toggle="tab" data-toggle="tab" data-bs-target="#citations-tab" href="#citations-tab">Cit茅 par</a> </li> </ul> <div class="tab-content" style="margin-top:10px"> <div id="references-tab" class="tab-pane fade in active"> <div style="margin-top:20px;margin-bottom: 0px"> <p class="bibitemcls " > [BJS] <span class="citation-author">L. Bers</span>, <span class="citation-author">F. John</span> and <span class="citation-author">M. Schechter</span>, <span class="citation-document-title">Partial Differential Equations</span>, John Wiley, 1964 (later reprinted by Amer. Math. Soc.). | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=29:346" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0126.00207" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [CH] <span class="citation-author">E. Calabi</span> and <span class="citation-author">P. Hartman</span>, <span class="citation-document-title">On the Smoothness of Isometries</span> (Duke Math. J., Vol. 37, 1970, pp. 741-750). | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=44:957" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0203.54304" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [C] <span class="citation-author">E. Cartan</span>, <span class="citation-document-title">Sur la possibilit茅 de plonger un espace riemannien donn茅 dans un espace euclidien</span> (Ann. Soc. Pol. Math., Vol. 6, 1927, pp. 1-17). | <a href="https://zbmath.org/?q=an:54.0763.05" class="badge badge-secondary ref-badge "> JFM </a> </p> <p class="bibitemcls " > [D1] <span class="citation-author">D. Deturck</span>, <span class="citation-document-title">Metrics With Prescribed Ricci Curvature</span> [Proceedings of I.A.S. Differential Geometry Seminar, 1979-1980 (to appear in Annals of Math. series)]. </p> <p class="bibitemcls " > [D2] <span class="citation-author">D. Deturck</span>, <span class="citation-document-title">Existence of Metrics With Prescribed Ricci Curvature : Local Theory</span> (to appear). </p> <p class="bibitemcls " > [E] <span class="citation-author">A. Einstein</span>, <span class="citation-document-title">N盲herungsweise Integration der Feldgleichungen der Gravitation</span> (S.-B. Preuss. Akad. Wiss., 1916, pp. 688-696). | <a href="https://zbmath.org/?q=an:46.1293.02" class="badge badge-secondary ref-badge "> JFM </a> </p> <p class="bibitemcls " > [FM] <span class="citation-author">A. Fischer</span> and <span class="citation-author">J. Marsden</span>, <span class="citation-document-title">General Relativity, Partial Differential Equations, and Dynamical Systems</span> (Proc. Symp. Pure Math., Vol. 28 ; Amer. Math. Soc., 1973, pp. 309-327). | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=53:11656" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0262.35035" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [GW] <span class="citation-author">R. Greene</span> and <span class="citation-author">H. Wu</span>, <span class="citation-document-title">Embedding of Open Riemannian Manifolds by Harmonic Functions</span> (Ann. Inst. Fourier, Grenoble, Vol. 25, 1975, pp. 215-235). | <a href="/item/AIF_1975__25_1_215_0" class="badge badge-secondary ref-badge">Numdam</a> | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=52:3583" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0307.31003" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [H] <span class="citation-author">P. Hartman</span>, <span class="citation-document-title">On Geodesic Coordinates</span> (American J. Math., Vol. 73, 1951, pp. 949-954). | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=13,683e" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0044.17306" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [J] <span class="citation-author">M. Janet</span>, <span class="citation-document-title">Sur la possibilit茅 de plonger un espace riemannien donn茅 dans un espace euclidien</span> (Ann. Soc. Pol. Math., Vol. 5, 1926, pp. 38-42). | <a href="https://zbmath.org/?q=an:53.0699.01" class="badge badge-secondary ref-badge "> JFM </a> </p> <p class="bibitemcls " > [K] <span class="citation-author">J. Kazdan</span>, <span class="citation-document-title">Another Proof of Bianchi's Identity in Riemannian Geometry</span> (to appear in Proc. Amer. Math. Soc., 1981). | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=82b:53026" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0459.53033" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [KW] <span class="citation-author">J. Kazdan</span> and <span class="citation-author">F. Warner</span>, <span class="citation-document-title">Curvature Functions for Open 2-Manifolds</span> (Ann. Math., Vol. 199, 1974, pp. 203-219). | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=49:7950" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0278.53031" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [KN] <span class="citation-author">S. Kobayashi</span> and <span class="citation-author">K. Nomizu</span>, <span class="citation-document-title">Foundations of Differential Geometry</span>, Vol. I, Interscience, New York, 1964. | <a href="https://zbmath.org/?q=an:0119.37502" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [L] <span class="citation-author">C. Lanczos</span>, <span class="citation-document-title">Ein Vereinfachendes Koordinatensystem f眉r die Einsteinschen Gravitationsgleichungen</span> (Phys. Z., Vol. 23, 1922, pp. 537-539). | <a href="https://zbmath.org/?q=an:48.1023.01" class="badge badge-secondary ref-badge "> JFM </a> </p> <p class="bibitemcls " > [M] <span class="citation-author">B. Malgrange</span>, <span class="citation-document-title">Sur l'int茅grabilit茅 des structures presque-complexes</span> (Symposia Math., Vol. II, I.N.D.A.M., Rome, 1968, Academic Press, London, 1969, pp. 289-296). | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=40:6598" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0186.42504" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [Mo] <span class="citation-author">C. Morrey</span>, <span class="citation-author">Jr.</span>, <span class="citation-document-title">Multiple Integrals in the Calculus of Variations</span> (Grund. der Math. Wiss., Vol. 133, Springer-Verlag, New York, 1966). | <a href="https://zbmath.org/?q=an:0142.38701" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [My] <span class="citation-author">S. D. Myers</span>, <span class="citation-document-title">Riemannian Manifolds in the Large</span> (Duke Math. J., Vol. 1, 1935, pp. 39-49). | <a href="https://zbmath.org/?q=an:61.0786.03" class="badge badge-secondary ref-badge "> JFM </a> | <a href="https://zbmath.org/?q=an:0011.22502" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [S] <span class="citation-author">M. Spivak</span>, <span class="citation-document-title">A Comprehensive Introduction to Differential Geometry</span>, Vol. 5, Publish or Perish, 1975. | <a href="https://zbmath.org/?q=an:0306.53003" class="badge badge-secondary ref-badge "> Zbl </a> </p> </div> </div> <div id="citations-tab" class="tab-pane fade in"> <div id="citations-div" data-url="/citedby/10.24033/asens.1405" style="margin-top:20px;margin-bottom: 20px"></div> <p><em>Cit茅 par <span id="citations-number"></span> Sources : <span id="citations-sources"></span></em></p> </div> </div> </div> </div> </div> </div> </div> <div id="right"> </div> </div> </div> <div id="footer"> <div class="horizontal-menu menu-footer"> <ul> <li><a href="/about/">脌 propos</a></li> <li><a href="/help/">Aide</a></li> <li><a href="/legal/">Mentions l茅gales</a></li> <li><a href="/contact/">Contact</a></li> </ul> </div> <div class="logo-footer"> <div class="logo-footer-left" style="float:left;"> </div> <div style="float:left"> <div class="lg-desktop"> <p>D茅velopp茅 par</p> </div> <div style="display:inline-block"> <a href="http://www.mathdoc.fr"><img class="logo-auto" src="/static/numdam/img/logo-mathdoc.png"/></a> </div> </div> <div style="float:left;width:5%"> </div> <div style="float:left"> <div class="lg-desktop"> <p>Soutenu par</p> </div> <div style="display:inline-block"> <a href="http://www.cnrs.fr/insmi"><img class="logo-auto" src="/static/numdam/img/logo-insmi.png"/></a>  <a href="http://www.univ-grenoble-alpes.fr/"><img class="logo-auto" src="/static/numdam/img/logo-uga.svg"/></a> </div> </div> <div style="float:left;width:5%"> </div> <div style="float:left"> <div class="lg-desktop"> <p>Partenaire de</p> </div> <div style="display:inline-block"> <a href="http://www.eudml.eu"><img class="logo-auto" src="/static/numdam/img/logo-eudml.png"/></a>  <a href="http://portail.math.cnrs.fr"><img class="logo-auto" src="/static/numdam/img/logo-portail.png"/></a> </div> </div> <div style="float:right; margin-right:20px"> <div id="logo-collex"> <a href="https://www.collexpersee.eu/"><img class="logo-auto" src="/static/numdam/img/logo-collex.png"/></a>  </div> <div id="logo-collex-lg"> <a href="https://www.collexpersee.eu/"><img class="logo-auto" src="/static/numdam/img/logo-collex.png"/></a>  </div> </div> </div> </div> <script type="text/javascript" src="/static/ptf/vendors/jquery/js/jquery-3.5.1.min.js"></script> <script type="text/javascript" src="/static/ptf/vendors/clipboard/js/clipboard.min.js"></script> <script type="text/javascript" src="/static/ptf/vendors/bootstrap/js/bootstrap.min.js"></script> <script type="text/javascript" src="/static/ptf/vendors/lightbox/js/lightbox.js"></script> <script type="text/javascript" src="/static/ptf/js/ptf.js"></script> <script type="text/javascript" src="/static/ptf/js/search-bar.js"></script> <script type="text/javascript" src="/static/numdam/vendors/owl-carousel/js/owl.carousel.min.js"></script> <script type="text/javascript" src="/static/numdam/js/scripts.js"></script> <script src="/static/ptf/js/mathjax-config.js" defer></script> <script type="text/javascript" id="MathJax-script" defer src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"> </script> </body> </html>

CINXE.COM

Some regularity theorems in riemannian geometry