dc.contributor.author | Dursun, Uğur | en_US |
dc.date.accessioned | 2022-05-20T06:47:13Z | |
dc.date.available | 2022-05-20T06:47:13Z | |
dc.date.issued | 2022-03-15 | |
dc.identifier.citation | Dursun, U. (2022). Slant curves in the Lorentzian warped product manifold - I× fE². Journal of Geometry, 113(1), 1-18. doi:10.1007/s00022-022-00637-3 | en_US |
dc.identifier.issn | 0047-2468 | en_US |
dc.identifier.issn | 1420-8997 | en_US |
dc.identifier.uri | https://hdl.handle.net/11729/4337 | |
dc.identifier.uri | http://dx.doi.org/10.1007/s00022-022-00637-3 | |
dc.description.abstract | In this work, we study slant curves in the 3-dimensional Lorentzian warped product - I× fE², where E² is a 2-dimensional Euclidean plane, I? R is an open interval equipped with the metric dt², and f is a positive smooth function on I. First we give a characterization of slant curves, and then we obtain a classification of all slant curves in - I× fE². We also compute their curvature and torsion, and we obtaine some results on slant curves and helices in the de Sitter space S13(1) and in the Minkowski space E13. Moreover we determined some biharmonic slant curves in S13(1). | en_US |
dc.language.iso | en | en_US |
dc.publisher | Birkhauser | en_US |
dc.relation.ispartof | Journal of Geometry | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Biharmonic curves | en_US |
dc.subject | Helix | en_US |
dc.subject | Lorentzian manifold | en_US |
dc.subject | Slant curves | en_US |
dc.subject | Warped product | en_US |
dc.subject | General helices | en_US |
dc.title | Slant curves in the Lorentzian warped product manifold - I× fE² | en_US |
dc.type | Article | en_US |
dc.description.version | Publisher's Version | en_US |
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.authorid | 0000-0002-5225-186X | |
dc.authorid | 0000-0002-5225-186X | en_US |
dc.identifier.volume | 113 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 1 | |
dc.identifier.endpage | 18 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.institutionauthor | Dursun, Uğur | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Emerging Sources Citation Index (ESCI) | en_US |
dc.identifier.wosquality | N/A | en_US |
dc.identifier.wos | WOS:000769460900001 | |
dc.identifier.wos | WOS:000769460900001 | en_US |
dc.identifier.scopus | 2-s2.0-85126257441 | en_US |
dc.identifier.doi | 10.1007/s00022-022-00637-3 | |
dc.identifier.scopusquality | Q3 | en_US |