Osculating mate of a Frenet curve in the Euclidean 3-space

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ALKAN A., Önder M.

Acta et Commentationes Universitatis Tartuensis de Mathematica, vol.27, no.2, pp.157-169, 2023 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 27 Issue: 2
• Publication Date: 2023
• Doi Number: 10.12697/acutm.2023.27.13
• Journal Name: Acta et Commentationes Universitatis Tartuensis de Mathematica
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier
• Page Numbers: pp.157-169
• Keywords: Osculating mate, rectifying curve, helix, slant helix
• Open Archive Collection: AVESIS Open Access Collection
• Manisa Celal Bayar University Affiliated: Yes

Abstract

A new kind of partner curves called osculating mate of a Frenet curve is introduced. Some characterizations for osculating mate are obtained and using the obtained results some special curves such as slant helix, spherical helix, C-slant helix and rectifying curve are constructed.