Classification of surfaces in a pseudo-sphere with 2-type pseudo-spherical Gauss map

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dc.authorid0000-0002-5611-5478
dc.authorid0000-0001-7106-0041
dc.authorid0000-0002-5225-186X
dc.contributor.authorBektaş, Burcuen_US
dc.contributor.authorCanfes, Elif Özkaraen_US
dc.contributor.authorDursun, Uğuren_US
dc.date.accessioned2018-06-20T08:49:23Z
dc.date.available2018-06-20T08:49:23Z
dc.date.issued2017-11
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 article, we study submanifolds in a pseudo-sphere with 2-type pseudo-spherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S-2(4) subset of E-2(5) with zero mean curvature vector in S-2(4) and 2-type pseudo-spherical Gauss map. We also prove that non-totally umbilical proper pseudo-Riemannian hypersurfaces in a pseudo-sphere S-s(n+1) subset of E-s(n+2) with non-zero constant mean curvature has 2-type pseudo-spherical Gauss map if and only if it has constant scalar curvature. Then, for n = 2 we obtain the classification of surfaces in S-1(3) subset of E-1(4) with 2-type pseudo-spherical Gauss map. Finally, we give an example of surface with null 2-type pseudo-spherical Gauss map which does not appear in Riemannian case, andwe give a characterization theorem for Lorentzian surfaces in S-1(3) subset of E-1(4) with null 2-type pseudospherical Gauss map.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBektaş, B., Canfes, E. Ö. & Dursun, U. (2017). Classification of surfaces in a pseudo-sphere with 2-type pseudo-spherical gauss map. Mathematische Nachrichten, 290(16), 2512-2523. doi:10.1002/mana.201600498en_US
dc.identifier.doi10.1002/mana.201600498
dc.identifier.endpage2523
dc.identifier.issn0025-584X
dc.identifier.issn1522-2616
dc.identifier.issue16
dc.identifier.scopus2-s2.0-85020504432
dc.identifier.scopusqualityQ1
dc.identifier.startpage2512
dc.identifier.urihttps://hdl.handle.net/11729/1310
dc.identifier.urihttp://dx.doi.org/10.1002/mana.201600498
dc.identifier.volume290
dc.identifier.wosWOS:000414334700004
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.publisherWiley-V C H Verlag GMBHen_US
dc.relation.ispartofMathematische Nachrichtenen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinite type mapsen_US
dc.subjectGauss mapen_US
dc.subjectPseudo-sphereen_US
dc.subjectB-scrollen_US
dc.subjectFinite-typeen_US
dc.subjectRotation surfacesen_US
dc.subjectSubmanifoldsen_US
dc.subjectSpaceen_US
dc.subject53B25en_US
dc.subject53C40en_US
dc.subject53C42en_US
dc.titleClassification of surfaces in a pseudo-sphere with 2-type pseudo-spherical Gauss mapen_US
dc.typeArticleen_US
dspace.entity.typePublication

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