A New Class of Bertrand Curves in Euclidean 4-Space

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dc.authoridLi, Yanlin/0000-0003-1614-3228
dc.contributor.authorLi, Yanlin
dc.contributor.authorUçum, Ali
dc.contributor.authorİlarslan, Kazım
dc.contributor.authorCamcı, Çetin
dc.date.accessioned2025-01-21T16:35:03Z
dc.date.available2025-01-21T16:35:03Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractBertrand curves are a pair of curves that have a common principal normal vector at any point and are related to symmetry properties. In the present paper, we define the notion of (1, 3)-V Bertrand curves in Euclidean 4-space. Then we find the necessary and sufficient conditions for curves in Euclidean 4-space to be (1, 3)-V Bertrand curves. Some related examples are given.
dc.description.sponsorshipNational Natural Science Foundation of China [12101168]; Zhejiang Provincial Natural Science Foundation of China [LQ22A010014]
dc.description.sponsorshipThis research was funded by National Natural Science Foundation of China (Grant No. 12101168) and Zhejiang Provincial Natural Science Foundation of China (Grant No. LQ22A010014).
dc.identifier.doi10.3390/sym14061191
dc.identifier.issn2073-8994
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85132112710
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym14061191
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24068
dc.identifier.volume14
dc.identifier.wosWOS:000816119000001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectBertrand curves; curvatures; Euclidean space
dc.titleA New Class of Bertrand Curves in Euclidean 4-Space
dc.typeArticle

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