Smarandache Curves of Spatial Quaternionic Bertrand Curve According to Frenet Frame

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Şenyurt S., Cevahir Yıldız C., Altun Y.

TURKISH JOURNAL OF SCIENCE, vol.5, no.2, pp.49-62, 2020 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 5 Issue: 2
  • Publication Date: 2020
  • Journal Name: TURKISH JOURNAL OF SCIENCE
  • Page Numbers: pp.49-62
  • Istanbul Gelisim University Affiliated: Yes

Abstract

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.