Natural and conjugate mates of Frenet curves in three-dimensional Lie group

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dc.contributor.authorMak, Mahmut
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-30T08:26:36Z
dc.date.available2021-11-30T08:26:36Z
dc.date.issued2021-06-30
dc.description.abstractIn this study, we introduce the natural mate and conjugate mate of a Frenet curve in a three dimensional Lie group G with bi-invariant metric. Also, we give some relationships between a Frenet curve and its natural mate or its conjugate mate in G . Especially, we obtain some results for the natural mate and the conjugate mate of a Frenet curve in G when the Frenet curve is a general helix, a slant helix, a spherical curve, a rectifying curve, a Salkowski (constant curvature and non-constant torsion), anti-Salkowski (non-constant curvature and constant torsion), Bertrand curve. Finally, we give nice graphics with numeric solution in Euclidean 3-space as a commutative Lie group.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage540tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage522tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.785489tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76502
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.785489tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectNatural matetr_TR
dc.subjectConjugate matetr_TR
dc.subjectHelixtr_TR
dc.titleNatural and conjugate mates of Frenet curves in three-dimensional Lie grouptr_TR
dc.typeArticletr_TR

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