Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time

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dc.contributor.authorUcum, Ali
dc.contributor.authorKecilioglu, Osman
dc.contributor.authorIlarslan, Kazim
dc.date.accessioned2020-06-25T18:17:09Z
dc.date.available2020-06-25T18:17:09Z
dc.date.issued2016
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we reconsider the (1, 3)-Bertrand curves with respect to the casual characters of a (1, 3)-normal plane that is a plane spanned by the principal normal and the second binormal vector fields of the given curve. Here, we restrict our investigation of (1, 3)-Bertrand curves to the spacelike (1, 3)-normal plane in Minkowski space-time. We obtain the necessary and sufficient conditions for the curves with spacelike (1, 3)-normal plane to be (1, 3)-Bertrand curves and we give the related examples for these curves.en_US
dc.description.sponsorshipTUBITAK (Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThe authors express thanks to the referees for their valuable suggestions. The first author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial supports during his PhD studies.en_US
dc.identifier.citationUçum A, Keçilioğlu O, İlarslan K (2016). Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time. Turkish Journal of Mathematics, 40(3), 487 - 505.en_US
dc.identifier.doi10.3906/mat-1503-12
dc.identifier.endpage505en_US
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84964527058
dc.identifier.scopusqualityQ2
dc.identifier.startpage487en_US
dc.identifier.urihttps://doi.org/10.3906/mat-1503-12
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6705
dc.identifier.volume40en_US
dc.identifier.wosWOS:000386114900002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherScientific Technical Research Council Turkey-Tubitaken_US
dc.relation.ispartofTurkish Journal Of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBertrand curveen_US
dc.subjectMinkowski space-timeen_US
dc.subjectFrenet planesen_US
dc.titleGeneralized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Timeen_US
dc.typeArticle

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