A Note on Evolution of Curves in the Minkowski Spaces

YILDIZ Ö. G., Tosun M.

Advances in Applied Clifford Algebras, vol.27, no.3, pp.2873-2884, 2017 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.1007/s00006-017-0760-8
  • Journal Name: Advances in Applied Clifford Algebras
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2873-2884
  • Keywords: Curve flows, Evolution of curves, Minkowski Space
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 2017, Springer International Publishing.In this paper, we study the evolution of non-null curve in n-dimensional Minkowski Space. We express evolution equation of the Frenet frame by matrix equation. We obtain integrability conditions for the evolutions. Finally, we give examples of evolutions.