On Bishop frame of a null Cartan curve in Minkowski space-time

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dc.contributor.authorIlarslan, Kazim
dc.contributor.authorNesovic, Emilija
dc.date.accessioned2020-06-25T18:29:30Z
dc.date.available2020-06-25T18:29:30Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.descriptionNesovic, Emilija/0000-0003-3600-0486
dc.description.abstractIn this paper, we define the Bishop frame of a null Cartan curve in Minkowski space-time E-1(4). We obtain the Bishop's frame equations of a null Cartan curve which lies in the timelike hyperplane of E-1(4). We show that a null Cartan cubic lying in the timelike hyperplane of E-1(4) has two Bishop frames, one of which coincides with its Cartan frame. We also derive the Bishop's frame equation of the null Cartan curve which has the third Cartan curvature K-3(s) not equal 0. As an application, we find a solution of the null Betchov-Da Rios vortex filament equation in terms of a null Cartan curve and its Bishop frame, which generates a timelike Hasimoto surface.en_US
dc.description.sponsorshipSerbian Ministry of Education, Science and Technological Development [174012]en_US
dc.description.sponsorshipThe authors are very grateful to the referee for valuable comments and useful suggestions. The second author was partially supported by the Serbian Ministry of Education, Science and Technological Development (grant number 174012).en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1142/S0219887818501426
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85047139617
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0219887818501426
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7341
dc.identifier.volume15en_US
dc.identifier.wosWOS:000435978200018
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal Of Geometric Methods In Modern Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBishop frameen_US
dc.subjectCartan frameen_US
dc.subjectnull Cartan curveen_US
dc.subjectMinkowski space-timeen_US
dc.titleOn Bishop frame of a null Cartan curve in Minkowski space-timeen_US
dc.typeArticle

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