New approach to timelike Bertrand curves in 3-dimensional Minkowski space

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dc.contributor.authorErdem, H. A.
dc.contributor.authorUcum, A.
dc.contributor.authorIlarslan, K.
dc.contributor.authorCamci, C.
dc.date.accessioned2025-01-21T16:42:49Z
dc.date.available2025-01-21T16:42:49Z
dc.date.issued2023
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn the theory of curves in Euclidean 3-space, it is well known that a curve /3 is said to be a Bertrand curve if for another curve /3* there exists a one-to-one correspondence between /3 and /3* such that both curves have common principal normal line. These curves have been studied in differ-ent spaces over a long period of time and found wide application in different areas. In this article, the conditions for a timelike curve to be Bertrand curve are obtained by using a new approach in contrast to the well-known classical approach for Bertrand curves in Minkowski 3-space. Related examples that meet these conditions are given. Moreover, thanks to this new approach, timelike, spacelike and Cartan null Bertrand mates of a timelike general helix have been obtained.
dc.identifier.doi10.15330/cmp.15.2.482-494
dc.identifier.endpage494
dc.identifier.issn2075-9827
dc.identifier.issn2313-0210
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85179339755
dc.identifier.scopusqualityQ2
dc.identifier.startpage482
dc.identifier.urihttps://doi.org/10.15330/cmp.15.2.482-494
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25147
dc.identifier.volume15
dc.identifier.wosWOS:001157328600013
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherVasyl Stefanyk Precarpathian Natl Univ
dc.relation.ispartofCarpathian Mathematical Publications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectBertrand curve; timelike curve; spacelike curve; Cartan null curve; Minkowski 3-space
dc.titleNew approach to timelike Bertrand curves in 3-dimensional Minkowski space
dc.typeArticle

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