Some Characterizations for a Quaternion-Valued and Dual Variable Curve


KARADAĞ M. , SİVRİDAĞ A. İ.

SYMMETRY-BASEL, cilt.11, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 11 Konu: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/sym11020125
  • Dergi Adı: SYMMETRY-BASEL

Özet

Quaternions, which are found in many fields, have been studied for a long time. The interest in dual quaternions has also increased after real quaternions. Nagaraj and Bharathi developed the basic theories of these studies. The Serret-Frenet Formulae for dual quaternion-valued functions of one real variable are derived. In this paper, by making use of the results of some previous studies, helixes and harmonic curvature concepts in Q(D3) and Q(D4) are considered and a characterization for a dual harmonic curve to be a helix is given.