Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures
dc.authorid | 0000-0002-5225-186X | |
dc.authorid | 0000-0002-0171-3876 | |
dc.contributor.author | Dursun, Uğur | en_US |
dc.contributor.author | Turgay, Nurettin Cenk | en_US |
dc.date.accessioned | 2016-12-27T12:57:43Z | |
dc.date.available | 2016-12-27T12:57:43Z | |
dc.date.issued | 2016-12 | |
dc.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.description.abstract | In 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.sponsorship | TUBITAK 1001 project Y_EUCL2TIP [114F199] | en_US |
dc.description.sponsorship | This work was obtained during the TUBITAK 1001 project Y_EUCL2TIP (Project Number: 114F199). | en_US |
dc.description.version | Publisher's Version | en_US |
dc.identifier.citation | Dursun, 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.20.2016.7345 | en_US |
dc.identifier.doi | 10.11650/tjm.20.2016.7345 | |
dc.identifier.endpage | 1311 | |
dc.identifier.issn | 1027-5487 | |
dc.identifier.issn | 2224-6851 | |
dc.identifier.issue | 6 | |
dc.identifier.scopus | 2-s2.0-84997402763 | |
dc.identifier.scopusquality | Q3 | |
dc.identifier.startpage | 1295 | |
dc.identifier.uri | https://hdl.handle.net/11729/1163 | |
dc.identifier.uri | http://dx.doi.org/10.11650/tjm.20.2016.7345 | |
dc.identifier.volume | 20 | |
dc.identifier.wos | WOS:000393262500005 | |
dc.identifier.wosquality | Q4 | |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.institutionauthor | Dursun, Uğur | en_US |
dc.institutionauthorid | 0000-0002-5225-186X | |
dc.language.iso | en | en_US |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.publisher | Mathematical Society of The Repulic Of China | en_US |
dc.relation.ispartof | Taiwanese Journal of Mathematics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Curvature | en_US |
dc.subject | Gaussian curvature | en_US |
dc.subject | Harmonic maps | en_US |
dc.subject | Lorentzian surfaces | en_US |
dc.subject | Minimal submanifolds | en_US |
dc.subject | Normal curvature | en_US |
dc.subject | Space-forms | en_US |
dc.subject | Sphere | en_US |
dc.title | Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |