On spherical submanifolds with finite type spherical Gauss map

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dc.authorid0000-0002-5611-5478
dc.authorid0000-0002-5225-186X
dc.contributor.authorBektaş, Burcuen_US
dc.contributor.authorDursun, Uğuren_US
dc.date.accessioned2016-05-24T07:46:56Z
dc.date.available2016-05-24T07:46:56Z
dc.date.issued2016-04-01
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractChen and Lue (2007) initiated the study of spherical submanifolds with finite type spherical Gauss map. In this paper, we firstly prove that a submanifold Mn of the unit sphere double-struck Sm-1 has non-mass-symmetric 1-type spherical Gauss map if and only if Mn is an open part of a small n-sphere of a totally geodesic (n + 1)-sphere double-struck Sn+1 ? double-struck Sm-1. Then we show that a non-totally umbilical hypersurface M of double-struck Sn+1 with nonzero constant mean curvature in double-struck Sn+1 has mass-symmetric 2-type spherical Gauss map if and only if the scalar curvature curvature of M is constant. Finally, we classify constant mean curvature surfaces in double-struck S3 with mass-symmetric 2-type spherical Gauss map.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBektas, B., & Dursun, U. (2016). On spherical submanifolds with finite type spherical gauss map. Advances in Geometry, 16(2), 243-251. doi:10.1515/advgeom-2016-0005en_US
dc.identifier.doi10.1515/advgeom-2016-0005
dc.identifier.endpage251
dc.identifier.issn1615-715X
dc.identifier.issn1615-7168
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84966322219
dc.identifier.scopusqualityQ3
dc.identifier.startpage243
dc.identifier.urihttps://hdl.handle.net/11729/866
dc.identifier.urihttp://dx.doi.org/10.1515/advgeom-2016-0005
dc.identifier.volume16
dc.identifier.wosWOS:000374973800009
dc.identifier.wosqualityQ4
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.publicationstatusPublisheden_US
dc.publisherWalter De Gruyter GMBHen_US
dc.relation.ispartofAdvances in Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinite type mapen_US
dc.subjectIsoparametric hypersurfaceen_US
dc.subjectMean curvatureen_US
dc.subjectSpherical Gauss mapen_US
dc.titleOn spherical submanifolds with finite type spherical Gauss mapen_US
dc.typeArticleen_US
dspace.entity.typePublication

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