A new approach to Bertrand curves in Euclidean 3-space

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dc.contributor.authorCamci, Cetin
dc.contributor.authorUcum, Ali
dc.contributor.authorIlarslan, Kazim
dc.date.accessioned2025-01-27T21:07:52Z
dc.date.available2025-01-27T21:07:52Z
dc.date.issued2020
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this article, a new approach is given for Bertrand curves in 3-dimensional Euclidean space. According to this approach, the necessary and sufficient conditions including the known results have been obtained for a curve to be Bertrand curve in E-3. In addition, the related examples and graphs are given by showing that general helices and anti-Salkowski curves can be Bertrand curves or their mates, which is their new characterization.
dc.identifier.doi10.1007/s00022-020-00560-5
dc.identifier.issn0047-2468
dc.identifier.issn1420-8997
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85096315446
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1007/s00022-020-00560-5
dc.identifier.urihttps://hdl.handle.net/20.500.12428/28201
dc.identifier.volume111
dc.identifier.wosWOS:000591216900001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofJournal of Geometry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectBertrand curves
dc.subjectGeneral helices
dc.subjectAnti-Salkowski curves
dc.subjectEuclidean 3-space
dc.titleA new approach to Bertrand curves in Euclidean 3-space
dc.typeArticle

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