Formulas for dual-split quaternionic curves


Coken A. C. , Ekici C., Kocayusufoglu I., Gorgulu A.

KUWAIT JOURNAL OF SCIENCE & ENGINEERING, cilt.36, ss.1-14, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 36
  • Basım Tarihi: 2009
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
  • Sayfa Sayıları: ss.1-14

Özet

In this study, we first defined the dual-split quaternions as semi-dual space 4/2, then we gave the Serret-Frenet formulas for dual-split quaternionic curves. We also defined semi-dual quaternionic curves in semi-dual spaces 3/1 and 4/2 and finally, we gave the Serret-Frenet formulas for semi-dual quaternionic curves in those spaces.