On pseudo null Bertrand curves in Minkowski space-time

GÖK İ., Nurkan S. K., Ilarslan K.

Kyungpook Mathematical Journal, vol.54, no.4, pp.685-697, 2014 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.5666/kmj.2014.54.4.685
  • Journal Name: Kyungpook Mathematical Journal
  • Journal Indexes: Scopus
  • Page Numbers: pp.685-697
  • Keywords: (1, 3)-Bertrand curve, Frenet vectors, Minkowski space-time, Pseudo null curve
  • Uşak University Affiliated: Yes

Abstract

In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions k1(s) = 1, k2(s) ≠ 0 and k3(s) other than itself in Minkowski spacetime E41 and by using the similar idea of Matsuda and Yorozu [13], we define a new kind of Bertrand curve and called it pseudo null (1; 3)-Bertrand curve. Also we give some characterizations and an example of pseudo null (1; 3)-Bertrand curves in Minkowski spacetime.