Quaternionic direction curves


ŞAHİNER B.

Kyungpook Mathematical Journal, cilt.58, sa.2, ss.377-388, 2018 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.5666/kmj.2018.58.2.377
  • Dergi Adı: Kyungpook Mathematical Journal
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.377-388
  • Anahtar Kelimeler: Associated curves, Direction curves, Quaternionic curves, Quaternionic helix, Spatial quaternionic curves
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we define new quaternionic associated curves called quaternionic principal-direction curves and quaternionic principal-donor curves. We give some properties and relationships between Frenet vectors and curvatures of these curves. For spatial quaternionic curves, we give characterizations for quaternionic helices and quaternionic slant helices by means of their associated curves.