Rotation minimizing frames and quaternionic rectifying curves

Creative Commons License

Keskin Ö., YAYLI Y.

Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, cilt.67, sa.1, ss.19-29, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 67 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.47743/anstim.2021.00003
  • Dergi Adı: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.19-29
  • Anahtar Kelimeler: Quaternionic frame, Rectifying curve, Rotation minimizing frame (RMF)
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2021 Sciendo. All rights reserved.In this paper, certain characterizations of a Rotation minimizing frame (RMF) are studied. An RMF is obtained on the direction curve R N(s)ds using a unit quaternionic curve. Some properties of this frame are given. Also, the condition of being a quaternionic rectifying curve and the condition of being a spherical curve is expressed using this frame. Moreover, the characterization of quaternionic rectifying curves is obtained similar to the characterization of spherical curves. Finally, the properties of the quaternionic rectifying curves are given.