Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures

dc.authorid0000-0002-5225-186X
dc.authorid0000-0002-0171-3876
dc.contributor.authorDursun, Uğuren_US
dc.contributor.authorTurgay, Nurettin Cenken_US
dc.date.accessioned2016-12-27T12:57:43Z
dc.date.available2016-12-27T12:57:43Z
dc.date.issued2016-12
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 consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose Gaussian and normal curvatures are constants. We conclude that such surfaces have the Gaussian curvature 1/3 and the absolute value of normal curvature 2/3. We also give some explicit examples.en_US
dc.description.sponsorshipTUBITAK 1001 project Y_EUCL2TIP [114F199]en_US
dc.description.sponsorshipThis work was obtained during the TUBITAK 1001 project Y_EUCL2TIP (Project Number: 114F199).en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDursun, U. & Turgay, N. C. (2016). Classification of minimal lorentzian surfaces in S2 4 (1) with constant gaussian and normal curvatures. Taiwanese Journal of Mathematics, 20(6), 1295-1311. doi:10.11650/tjm.20.2016.7345en_US
dc.identifier.doi10.11650/tjm.20.2016.7345
dc.identifier.endpage1311
dc.identifier.issn1027-5487
dc.identifier.issn2224-6851
dc.identifier.issue6
dc.identifier.scopus2-s2.0-84997402763
dc.identifier.scopusqualityQ3
dc.identifier.startpage1295
dc.identifier.urihttps://hdl.handle.net/11729/1163
dc.identifier.urihttp://dx.doi.org/10.11650/tjm.20.2016.7345
dc.identifier.volume20
dc.identifier.wosWOS:000393262500005
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.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherMathematical Society of The Repulic Of Chinaen_US
dc.relation.ispartofTaiwanese Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCurvatureen_US
dc.subjectGaussian curvatureen_US
dc.subjectHarmonic mapsen_US
dc.subjectLorentzian surfacesen_US
dc.subjectMinimal submanifoldsen_US
dc.subjectNormal curvatureen_US
dc.subjectSpace-formsen_US
dc.subjectSphereen_US
dc.titleClassification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvaturesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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