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, cilt.27, sa.2, ss.157-169, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 27 Sayı: 2
• Basım Tarihi: 2023
• Doi Numarası: 10.12697/acutm.2023.27.13
• Dergi Adı: Acta et Commentationes Universitatis Tartuensis de Mathematica
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier
• Sayfa Sayıları: ss.157-169
• Anahtar Kelimeler: Osculating mate, rectifying curve, helix, slant helix
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.