Sequential natural mates of Frenet curves in Euclidean 3-space

dc.authorid0000-0002-0122-559Xen_US
dc.authorscopusid7005108545en_US
dc.authorwosid-en_US
dc.contributor.authorCamcı, Çetin
dc.contributor.authorChen, Bang-Yen
dc.contributor.authorIlarslan, Kazım
dc.contributor.authorUcum, Ali
dc.date.accessioned2024-12-12T06:29:27Z
dc.date.available2024-12-12T06:29:27Z
dc.date.issued2021en_US
dc.departmentFakülteler, Fen Fakültesi, Matematik Bölümü
dc.description.abstractAssociated with a Frenet curve α in Euclidean 3-space E3, there exists the notion of natural mate β of α. In this article, we extend the natural mate β to sequential natural mates {α1,α2,…,αnα} with α1= β. We call each curve αi, i∈ { 1 , 2 , … , nα} , the i-th natural mate. The main purpose of this article is to study the relationships between the given Frenet curve α with its sequential natural mates {α1,α2,…,αnα}.en_US
dc.identifier.citationÇamcı, Ç., Chen, B.-Y., İlarslan, K., & Uçum, A. (2021). Sequential natural mates of Frenet curves in Euclidean 3-space. Journal of Geometry, 112(3), 1–15. https://doi.org/10.1007/s00022-021-00610-6en_US
dc.identifier.doi10.1007/s00022-021-00610-6
dc.identifier.endpage15en_US
dc.identifier.issn0047-2468
dc.identifier.issn1420-8997
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85118249868
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.1007/s00022-021-00610-6
dc.identifier.urihttps://hdl.handle.net/20.500.12428/6735
dc.identifier.volume112en_US
dc.identifier.wosWOS:000711414600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorCamcı, Çetin
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnti-Salkowski curveen_US
dc.subjectBertrand curveen_US
dc.subjectGeneral helicesen_US
dc.subjectIth natural mateen_US
dc.subjectMannheim curveen_US
dc.subjectNatural matesen_US
dc.subjectSalkowski curveen_US
dc.subjectSequential natural mateen_US
dc.titleSequential natural mates of Frenet curves in Euclidean 3-space
dc.typeArticle

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