Sequential natural mates of Frenet curves in Euclidean 3-space

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dc.contributor.authorCamci, Cetin
dc.contributor.authorChen, Bang-Yen
dc.contributor.authorIlarslan, Kazim
dc.contributor.authorUcum, Ali
dc.date.accessioned2025-01-21T16:44:21Z
dc.date.available2025-01-21T16:44:21Z
dc.date.issued2021
dc.departmentKırıkkale Üniversitesi
dc.description.abstractAssociated with a Frenet curve alpha in Euclidean 3-space E-3, there exists the notion of natural mate beta of alpha. In this article, we extend the natural mate beta to sequential natural mates {alpha(1), alpha(2), . . . , alpha(n alpha)} with alpha(1) = beta. We call each curve alpha(i), i epsilon {1, 2, . . . , n(alpha)}, the i-th natural mate. The main purpose of this article is to study the relationships between the given Frenet curve a with its sequential natural mates {alpha(1), alpha(2), . . . , alpha n(alpha)}.
dc.identifier.doi10.1007/s00022-021-00610-6
dc.identifier.issn0047-2468
dc.identifier.issn1420-8997
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85118249868
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1007/s00022-021-00610-6
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25438
dc.identifier.volume112
dc.identifier.wosWOS:000711414600001
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_20241229
dc.subjectAnti-Salkowski curve; Bertrand curve; general helices; ith natural mate; Mannheim curve; natural mates; Salkowski curve; sequential natural mate
dc.titleSequential natural mates of Frenet curves in Euclidean 3-space
dc.typeArticle

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