Smarandache Curves of Spatial Quaternionic Bertrand Curve According to Frenet Frame


ŞENYURT S., CEVAHİR YILDIZ C., ALTUN Y.

Turkish Journal of Science, cilt.5, sa.2, ss.49-62, 2020 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: Turkish Journal of Science
  • Sayfa Sayıları: ss.49-62
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

Inthisstudy,FrenetvectorsofspatialquaternionicBertrandcurvepairweretakenastheposition vector. The obtained Smarandache curves from position vector were defined. Frenet vectors, the curvature andtorsion of this curve were calculated. This later the Frenet apparatus were expressed in terms of Frenet apparatus of the spatial quaternionic Bertrand curve pair. Example related to the subject was found and their drawings were done with Maple program.