Constant Ratio Quaternionic Curves in Euclidean Spaces


ÖZTÜRK G. , KİŞİ İ. , BÜYÜKKÜTÜK S.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.27, ss.1659-1673, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 27 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00006-016-0716-4
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Sayfa Sayısı: ss.1659-1673

Özet

In this paper, we give some characterizations of quaternionic curves whose position vectors can be written as linear combinations of their Serret-Frenet vectors in Euclidean 3-space and Euclidean 4-space . We characterize such curves in terms of their curvature functions. Finally, we give the necessary and sufficient conditions for these types of curves to become constant ratio, T-constant, and N-constant.