On submanifolds with 2-Type Pseudo-Hyperbolic Gauss Map in Pseudo-Hyperbolic space

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dc.authorid0000-0002-2642-1722
dc.authorid0000-0002-5225-186X
dc.contributor.authorŞen, Rüya Yeğinen_US
dc.contributor.authorDursun, Uğuren_US
dc.date.accessioned2017-03-13T11:28:35Z
dc.date.available2017-03-13T11:28:35Z
dc.date.issued2017-02
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn this paper, we study pseudo-Riemannian submanifolds of a pseudo-hyperbolic space Hsm-1(-1)?Es+1m with 2-type pseudo-hyperbolic Gauss map. We give a characterization of proper pseudo-Riemannian hypersurfaces in Hsn+1(-1)?Es+1n+2 with non-zero constant mean curvature and 2-type pseudo-hyperbolic Gauss map. For n= 2 , we prove classification theorems. In addition, we show that the hyperbolic Veronese surface is the only maximal surface fully lying in H24(-1)?H2m-1(-1) with 2-type pseudo-hyperbolic Gauss map. Moreover, we prove that a flat totally umbilical pseudo-Riemannian hypersurface Mtn of the pseudo-hyperbolic space Htn+1(-1)?Et+1n+2 has biharmonic pseudo-hyperbolic Gauss map.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationŞen, R. Y. & Dursun, U. (2017). On submanifolds with 2-type pseudo-hyperbolic gauss map in pseudo-hyperbolic space. Mediterranean Journal of Mathematics, 14(1), 1-20. doi:10.1007/s00009-016-0819-0en_US
dc.identifier.doi10.1007/s00009-016-0819-0
dc.identifier.endpage20
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85008223210
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/1196
dc.identifier.urihttp://dx.doi.org/10.1007/s00009-016-0819-0
dc.identifier.volume14
dc.identifier.wosWOS:000395093400028
dc.identifier.wosqualityQ2
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.publisherBirkhauser Verlag AGen_US
dc.relation.ispartofMediterranean 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 Verenose surfaceen_US
dc.subjectMaximal surfaceen_US
dc.subjectPseudo-hyperbolic Gauss mapen_US
dc.subjectPseudo-Riemannian hypersurfacesen_US
dc.titleOn submanifolds with 2-Type Pseudo-Hyperbolic Gauss Map in Pseudo-Hyperbolic spaceen_US
dc.typeArticleen_US
dspace.entity.typePublication

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