Formulas for dual-split quaternionic curves


Coken A. C., EKİCİ C., KOCAYUSUFOĞLU İ., Gorgulu A.

KUWAIT JOURNAL OF SCIENCE & ENGINEERING, vol.36, no.1A, pp.1-14, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 1A
  • Publication Date: 2009
  • Journal Name: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-14
  • Keywords: Semi-dual quaternions, semi-dual spaces, Serret-Frenet formulas, SERRET-FRENET FORMULAS
  • Akdeniz University Affiliated: No

Abstract

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.