Generalized Null Bertrand Curves In Minkowski Space-Time

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dc.contributor.authorAksoyak, Ferdag Kahraman
dc.contributor.authorGok, Ismail
dc.contributor.authorIlarslan, Kazim
dc.date.accessioned2020-06-25T18:12:25Z
dc.date.available2020-06-25T18:12:25Z
dc.date.issued2014
dc.departmentKırıkkale Üniversitesi
dc.descriptionGok, Ismail/0000-0001-8407-133X
dc.description.abstractCOKEN and CIFTCI proved that a null Cartan curve in Minkowski space-time E-1(4) is a null Bertrand curve if and only if k(2) is nonzero constant and k(3) is zero. That is, the null curve with non-zero curvature k(3) is not a Bertrand curve in Minkowski space-time E-1(4). So, in this paper we defined a new type of Bertrand curve in Minkowski space-time El for a null curve with non-zero curvature k(3) by using the similar idea of generalized Bertrand curve given by MATSUDA and YOROZU and we called it a null (1, 3)-Bertrand curve. Also, we proved that if a null curve with non-zero curvatures in Minkowski spacetime E-1(4) is a null (1, 3)-Bertrand curve then it is a null helix. We give an example of such curves.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.2478/aicu-2013-0031
dc.identifier.endpage502en_US
dc.identifier.issn1221-8421
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84923248652
dc.identifier.scopusqualityQ4
dc.identifier.startpage489en_US
dc.identifier.urihttps://doi.org/10.2478/aicu-2013-0031
dc.identifier.urihttps://hdl.handle.net/20.500.12587/5908
dc.identifier.volume60en_US
dc.identifier.wosWOS:000342655800015
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Al I Cuza, Fac Mathen_US
dc.relation.ispartofAnalele Stiintifice Ale Universitatii Al I Cuza Din Iasi-Serie Noua-Matematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMinkowski space-timeen_US
dc.subjectnull curveen_US
dc.subjectFrenet vectorsen_US
dc.subjectBertrand curvesen_US
dc.titleGeneralized Null Bertrand Curves In Minkowski Space-Timeen_US
dc.typeArticle

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