Pseudo-spherical submanifolds with 1-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.accessioned2016-08-02T21:41:07Z
dc.date.available2016-08-02T21:41:07Z
dc.date.issued2016-05-28
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 work, we study pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify Lorentzian surfaces in a 4-dimensional pseudo-sphere (Formula presented.) with index s, (Formula presented.), and having harmonic pseudo-spherical Gauss map. Then we give a characterization theorem for pseudo-Riemannian submanifolds of a pseudo-sphere (Formula presented.) with 1-type pseudo-spherical Gauss map, and we classify spacelike surfaces and Lorentzian surfaces in the de Sitter space (Formula presented.) with 1-type pseudo-spherical Gauss map. Finally, according to the causal character of the mean curvature vector we obtain the classification of submanifolds of a pseudo-sphere having 1-type pseudo-spherical Gauss map with nonzero constant component in its spectral decomposition.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBektaş, B., Canfes, E. Ö. & Dursun, U. (2016). Pseudo-spherical submanifolds with 1-type pseudo-spherical gauss map. Results in Mathematics, 71(3-4), 867-887. doi:10.1007/s00025-016-0560-9en_US
dc.identifier.doi10.1007/s00025-016-0560-9
dc.identifier.endpage887
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.issue3-4
dc.identifier.scopus2-s2.0-84970997344
dc.identifier.scopusqualityQ2
dc.identifier.startpage867
dc.identifier.urihttps://hdl.handle.net/11729/1072
dc.identifier.urihttp://dx.doi.org/10.1007/s00025-016-0560-9
dc.identifier.volume71
dc.identifier.wosWOS:000401007300018
dc.identifier.wosqualityQ1
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.publisherBirkhauser Verlag AGen_US
dc.relation.ispartofResults in Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBiharmonic Gauss mapen_US
dc.subjectFinite type mappingen_US
dc.subjectMarginally trapped surfaceen_US
dc.subjectPseudo-sphereen_US
dc.subjectPseudo-spherical Gauss mapen_US
dc.subjectFinite-typeen_US
dc.subjectRotation surfacesen_US
dc.subjectSpace-formsen_US
dc.subjectClassificationen_US
dc.titlePseudo-spherical submanifolds with 1-type pseudo-spherical gauss mapen_US
dc.typeArticleen_US
dspace.entity.typePublication

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