Slant curves in the Lorentzian warped product manifold - I× fE²

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dc.authorid0000-0002-5225-186X
dc.contributor.authorDursun, Uğuren_US
dc.date.accessioned2022-05-20T06:47:13Z
dc.date.available2022-05-20T06:47:13Z
dc.date.issued2022-03-15
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 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.description.versionPublisher's Versionen_US
dc.identifier.citationDursun, U. (2022). Slant curves in the Lorentzian warped product manifold - I× fE². Journal of Geometry, 113(1), 1-18. doi:10.1007/s00022-022-00637-3en_US
dc.identifier.doi10.1007/s00022-022-00637-3
dc.identifier.endpage18
dc.identifier.issn0047-2468
dc.identifier.issn1420-8997
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85126257441
dc.identifier.scopusqualityQ3
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/4337
dc.identifier.urihttp://dx.doi.org/10.1007/s00022-022-00637-3
dc.identifier.volume113
dc.identifier.wosWOS:000769460900001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.institutionauthorDursun, Uğuren_US
dc.institutionauthorid0000-0002-5225-186X
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherBirkhauseren_US
dc.relation.ispartofJournal of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBiharmonic curvesen_US
dc.subjectHelixen_US
dc.subjectLorentzian manifolden_US
dc.subjectSlant curvesen_US
dc.subjectWarped producten_US
dc.subjectGeneral helicesen_US
dc.titleSlant curves in the Lorentzian warped product manifold - I× fE²en_US
dc.typeArticleen_US
dspace.entity.typePublication

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