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) identifier identifier

  • 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
  • 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.