Hyperbolic submanifolds with finite type hyperbolic Gauss map

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dc.authorid0000-0002-5225-186X
dc.authorid0000-0002-2642-1722
dc.contributor.authorDursun, Uğuren_US
dc.contributor.authorYeğin, Rüyaen_US
dc.date.accessioned2015-07-14T11:00:05Z
dc.date.available2015-07-14T11:00:05Z
dc.date.issued2015-02
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1-type hyperbolic Gauss map. Then we prove that a non-totally umbilical hypersurface M-n with nonzero constant mean curvature in a hyperbolic space Hn+1 subset of E-1(n+2) has 2-type hyperbolic Gauss map if and only if M has constant scalar curvature. We also classify surfaces with constant mean curvature in the hyperbolic space H-3 subset of E-1(4) having 2-type hyperbolic Gauss map. Moreover we show that a horohypersphere in Hn+1 subset of E-1(n+2) has biharmonic hyperbolic Gauss map.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDursun, U. & Yeğin, R. (2015). Hyperbolic submanifolds with finite type hyperbolic gauss map. International Journal of Mathematics, 26(2), 1-18. doi:10.1142/S0129167X15500147en_US
dc.identifier.doi10.1142/S0129167X15500147
dc.identifier.endpage18
dc.identifier.issn0129-167X
dc.identifier.issn1793-6519
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84928652667
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/575
dc.identifier.urihttp://dx.doi.org/10.1142/S0129167X15500147
dc.identifier.volume26
dc.identifier.wosWOS:000351094200004
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDursun, Uğuren_US
dc.institutionauthorid0000-0002-5225-186X
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherWorld Scientific Publishing Co. Pte Ltden_US
dc.relation.ispartofInternational Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinite type mapen_US
dc.subjectHyperbolic Gauss mapen_US
dc.subjectIsoparametric hypersurfacesen_US
dc.subjectHorohypersphereen_US
dc.subjectBiharmonic mapen_US
dc.subjectMean curvatureen_US
dc.titleHyperbolic submanifolds with finite type hyperbolic Gauss mapen_US
dc.typeArticleen_US
dspace.entity.typePublication

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