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<!DOCTYPE html>     <html class="no-js" lang="en">  <head><META http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta content="text/html; charset=UTF-8" http-equiv="Content-Type"> <meta content="IE=edge,chrome=1" http-equiv="X-UA-Compatible"> <meta content="width=device-width,initial-scale=1" name="viewport"> <meta name="Author" content="Universidad de Granada"> <meta name="Copyright" content="Universidad de Granada"> <meta name="Publisher" content="Universidad de Granada"> <link rel="shortcut icon" href="/themes/Mirage2/images/favicon.ico"> <link rel="apple-touch-icon" href="/themes/Mirage2/images/apple-touch-icon.png"> <meta name="Generator" content="DSpace 6.4_1.0.6"> <link href="/themes/Mirage2/styles/main.css" rel="stylesheet"> <link href="/themes/Mirage2/xsl/aspect/estadisticas/style_estadisticas.css" rel="stylesheet"> <link type="text/css" rel="stylesheet" href="/themes/Mirage2/xsl/aspect/cookies/css/cookiecuttr.css"> <script src="/themes/Mirage2/xsl/aspect/cookies/js/jquery.min.js">聽</script><script src="/themes/Mirage2/xsl/aspect/cookies/js/jquery.cookie.js" type="text/javascript">聽</script><script src="/themes/Mirage2/xsl/aspect/cookies/js/jquery.cookiecuttr.js" type="text/javascript">聽</script><script src="/themes/Mirage2/xsl/aspect/cookies/js/activate-cookies.js" type="text/javascript">聽</script> <link type="application/opensearchdescription+xml" rel="search" href="https://digibug.ugr.es:443/open-search/description.xml" title="Digibug"> <script> //Clear default text of emty text areas on focus function tFocus(element) { if (element.value == ' '){element.value='';} } //Clear default text of emty text areas on submit function tSubmit(form) { var defaultedElements = document.getElementsByTagName("textarea"); for (var i=0; i != defaultedElements.length; i++){ if (defaultedElements[i].value == ' '){ defaultedElements[i].value='';}} } //Disable pressing 'enter' key to submit a form (otherwise pressing 'enter' causes a submission to start over) function disableEnterKey(e) { var key; if(window.event) key = window.event.keyCode; //Internet Explorer else key = e.which; //Firefox and Netscape if(key == 13) //if "Enter" pressed, then disable! return false; else return true; } </script><title>A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms</title> <link rel="schema.DCTERMS" href="http://purl.org/dc/terms/" /> <link rel="schema.DC" href="http://purl.org/dc/elements/1.1/" /> <meta name="DC.creator" content="Kaimakamis, George" /> <meta name="DC.creator" content="Panagiotidou, Konstantina" /> <meta name="DC.creator" content="P茅rez Jim茅nez, Juan De Dios" /> <meta name="DCTERMS.dateAccepted" content="2020-06-08T12:20:54Z" scheme="DCTERMS.W3CDTF" /> <meta name="DCTERMS.available" content="2020-06-08T12:20:54Z" scheme="DCTERMS.W3CDTF" /> <meta name="DCTERMS.issued" content="2020-04" scheme="DCTERMS.W3CDTF" /> <meta name="DCTERMS.bibliographicCitation" content="Kaimakamis, G., Panagiotidou, K., & P茅rez, J. D. D. (2020). A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms. Mathematics, 8(4), 642. [doi:10.3390/math8040642]" xml:lang="es_ES" /> <meta name="DC.identifier" content="http://hdl.handle.net/10481/62393" scheme="DCTERMS.URI" /> <meta name="DC.description" content="The authors would like to thank the reviewers for their valuable comments in order to
improve the paper." xml:lang="es_ES" /> <meta name="DCTERMS.abstract" content="The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined
on a real hypersurface M in a non-flat complex space form. For any nonnull constant k and any
vector field X tangent to M the k-th Cho operator F
(k)
X
is defined and is related to both connections.
If X belongs to the maximal holomorphic distribution D on M, the corresponding operator does
not depend on k and is denoted by FX and called Cho operator. In this paper, real hypersurfaces
in non-flat space forms such that FXS = SFX, where S denotes the Ricci tensor of M and a further
condition is satisfied, are classified." xml:lang="es_ES" /> <meta name="DC.language" content="eng" xml:lang="es_ES" scheme="DCTERMS.RFC1766" /> <meta name="DC.publisher" content="MDPI" xml:lang="es_ES" /> <meta name="DC.rights" content="Atribuci贸n 3.0 Espa帽a" xml:lang="*" /> <meta name="DC.rights" content="http://creativecommons.org/licenses/by/3.0/es/" xml:lang="*" scheme="DCTERMS.URI" /> <meta name="DC.subject" content="k-th generalized Tanaka鈥揥ebster connection" xml:lang="es_ES" /> <meta name="DC.subject" content="k-th Cho operator" xml:lang="es_ES" /> <meta name="DC.subject" content="Real hypersurface" xml:lang="es_ES" /> <meta name="DC.subject" content="Ricci tensor" xml:lang="es_ES" /> <meta name="DC.subject" content="Non-flat complex space form" xml:lang="es_ES" /> <meta name="DC.title" content="A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms" xml:lang="es_ES" /> <meta name="DC.type" content="journal article" xml:lang="es_ES" /> <meta name="DC.rights" content="open access" xml:lang="es_ES" /> <meta name="DC.identifier" content="doi:10.3390/math8040642" /> <meta name="citation_keywords" content="k-th generalized Tanaka鈥揥ebster connection; k-th Cho operator; Real hypersurface; Ricci tensor; Non-flat complex space form" /> <meta name="citation_title" content="A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms" /> <meta name="citation_publisher" content="MDPI" /> <meta name="citation_doi" content="doi:10.3390/math8040642" /> <meta name="citation_language" content="eng" /> <meta name="citation_author" content="Kaimakamis, George" /> <meta name="citation_author" content="Panagiotidou, Konstantina" /> <meta name="citation_author" content="P茅rez Jim茅nez, Juan De Dios" /> <meta name="citation_pdf_url" content="https://digibug.ugr.es/bitstream/10481/62393/1/mathematics-08-00642-v2.pdf" /> <meta name="citation_date" content="2020-04" /> <meta name="citation_abstract_html_url" 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Some features of this site may not work without it.</div> </div> </div> <div class="container" id="main-container"> <div class="row row-offcanvas row-offcanvas-right"> <div class="horizontal-slider clearfix"> <div class="col-xs-12 col-sm-12 col-md-9 main-content pull-right"> <div> <div id="aspect_artifactbrowser_ItemViewer_div_item-view" class="ds-static-div primary">  <div class="item-summary-view-metadata"> <h2 class="page-header first-page-header">A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms</h2> <div class="row"> <div class="col-sm-4"> <div class="item-page-field-wrapper table word-break"> <div> <img title="pdf" src="/themes/Mirage2/images/thumbnails/mimes/pdf.png" alt="[PDF]" class="iconos"><a href="/bitstream/handle/10481/62393/mathematics-08-00642-v2.pdf?sequence=1&isAllowed=y"><i aria-hidden="true" class="glyphicon "></i> mathematics-08-00642-v2.pdf (284.7Kb)</a><a class="flexpaper-view-link" target="_blank" href="/flexpaper/handle/10481/62393/mathematics-08-00642-v2.pdf?sequence=1&isAllowed=y"><img src="/themes/Mirage2/images/thumbnails/eye.png" class="view_flex"></a> </div> </div> <div class="simple-item-view-uri item-page-field-wrapper table"> <h5>Identificadores</h5> <span>URI: <a href="http://hdl.handle.net/10481/62393">http://hdl.handle.net/10481/62393</a></span> <div>DOI: <a href="http://dx.doi.org/doi:10.3390/math8040642">doi:10.3390/math8040642</a> </div> </div> <div class="simple-item-view-authors item-page-field-wrapper table"> <h5>Exportar</h5> <div id="export_buttons"> <a href="/ris/handle/10481/62393"><img class="export-icons" src="/themes/Mirage2/images/ris.png" alt="RIS" title="RIS"></a><a id="refwork_logo" href="http://www.refworks.com/express/ExpressImport.asp?filter=Refworks%20Tagged%20Format&vendor=RWUgranada&url=https://digibug.ugr.es/refworks/handle/10481/62393"><img class="export-icons" src="/themes/Mirage2/images/RefWorks.png" alt="Refworks" title="Refworks"></a><a target="_blank" href="http://www.mendeley.com/import/?url=http://hdl.handle.net/10481/62393" class="mendeley_button"><img class="export-icons" src="/themes/Mirage2/images/Mendeley.png" alt="Mendeley" title="Mendeley"></a><a target="_blank" href="/rdf/handle/10481/62393" alt="RDF" title="RDF"><img src="/themes/Mirage2/images/rdf.gif" class="export-icons"></a><a href="/bibtex/handle/10481/62393"><img class="export-icons" src="/themes/Mirage2/images/bibtex.png" alt="Bibtex" title="Bibtex"></a> </div> </div> <div class="simple-item-view-authors item-page-field-wrapper table"> <h5>Estadísticas</h5> <div id="altmetrics"> <script src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js" type="text/javascript">聽</script> <div class="simple-view-icons"> <span class="altmetric-embed" data-hide-no-mentions="false" data-badge-type="donut" data-badge-popover="bottom" title="Almetrics" data-doi="doi:10.3390/math8040642"></span> </div> <div class="simple-view-icons"> <span id="citedBy" title="Scopus"><object height="50" data="https://api.elsevier.com/content/abstract/citation-count?doi=doi:10.3390/math8040642&httpAccept=text/html&apiKey=c449b2e28cc431cebac2cd94003f68c3"></object></span> </div> </div> <a class="simple-view-icons" href="/handle/10481/62393/statistics">Ver Estadísticas de uso</a> </div> <div class="simple-item-view-show-full item-page-field-wrapper table"> <h5>Metadatos</h5> <a href="/handle/10481/62393?show=full">Mostrar el registro completo del ítem</a> </div> </div> <div class="col-sm-8"> <div class="col-md-6 col-lg-6"> <div class="simple-item-view-authors item-page-field-wrapper table"> <h5 class="item-headers">Autor</h5> <span><a href="/browse?authority=9f855b87-91e3-4f66-ae5c-ab48e180bc67&type=author">Kaimakamis, George</a></span>; <span><a href="/browse?authority=0e33d31b-c309-45f1-9471-c0f8e33d8295&type=author">Panagiotidou, Konstantina</a></span>; <span class="ds-dc_contributor_author-authority" title="Autoridad Universidad de Granada"><a href="/browse?authority=2061&type=author">Pérez Jiménez, Juan De Dios</a></span> </div> <div class="simple-item-view-description item-page-field-wrapper table"> <h5 class="item-headers">Editorial</h5> <div>MDPI</div> </div> <div class="simple-item-view-description item-page-field-wrapper table"> <h5 class="item-headers">Materia</h5> <div>k-th generalized Tanaka–Webster connection<div class="spacer"> </div>k-th Cho operator<div class="spacer"> </div>Real hypersurface<div class="spacer"> </div>Ricci tensor<div class="spacer"> </div>Non-flat complex space form<div class="spacer"> </div> </div> </div> </div> <div class="col-md-6 col-lg-6"> <div class="simple-item-view-date word-break item-page-field-wrapper table"> <h5 class="item-headers">Fecha</h5>2020-04</div> <div class="simple-item-view-description item-page-field-wrapper table"> <h5 class="item-headers">Referencia bibliográfica</h5> <div>Kaimakamis, G., Panagiotidou, K., & Pérez, J. D. D. (2020). A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms. Mathematics, 8(4), 642. [doi:10.3390/math8040642]</div> </div> </div> <div class="col-md-12 col-lg-12"> <div class="simple-item-view-description item-page-field-wrapper table"> <h5 class="item-headers">Resumen</h5> <div>The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined on a real hypersurface M in a non-flat complex space form. For any nonnull constant k and any vector field X tangent to M the k-th Cho operator F (k) X is defined and is related to both connections. If X belongs to the maximal holomorphic distribution D on M, the corresponding operator does not depend on k and is denoted by FX and called Cho operator. In this paper, real hypersurfaces in non-flat space forms such that FXS = SFX, where S denotes the Ricci tensor of M and a further condition is satisfied, are classified.</div> </div> <div class="simple-item-view-collections item-page-field-wrapper table"> <h5 class="item-headers">Colecciones</h5> <ul class="ds-referenceSet-list">  <li> <a href="/handle/10481/29855">DGT - Artículos</a> </li> </ul> </div> </div> </div> </div> </div> <div class="license-info table"></div> </div> <div class="row" about="http://hdl.handle.net/10481/62393"> <div class="col-sm-3 col-xs-12"> <a title="Atribución 3.0 España" alt="Atribución 3.0 España" href="http://creativecommons.org/licenses/by/3.0/es/" rel="license"><img class="img-responsive" src="/themes/Mirage2//images/creativecommons/cc-by.png" alt="Atribución 3.0 España"></a> </div> <div class="col-sm-8"> <span>Excepto si se señala otra cosa, la licencia del ítem se describe como Atribución 3.0 España</span> </div> </div> </div> </div> <div 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