Characterizations of timelike slant helices in Minkowski 3-space

GÖK İ., Nurkan S., Ilarslan K., Kula L., Altinok M.

Mathematical Communications, vol.19, no.1, pp.119-138, 2014 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 1
  • Publication Date: 2014
  • Journal Name: Mathematical Communications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.119-138
  • Keywords: General helix, Minkowski 3-space, Slant helix, Spherical helix, The binormal indicatrix, The principal normal indicatrix, The tangent indicatrix, Timelike curve
  • Uşak University Affiliated: Yes

Abstract

In this paper, we investigate the tangent indicatrix, the principal normal in- dicatrix and the binormal indicatrix of a timelike curve in Minkowski 3-space E3 1 and we construct their Frenet equations and curvature functions. Moreover, we obtain some dif- ferential equations which characterize a timelike curve to be a slant helix by using the Frenet apparatus of a spherical indicatrix of the curve. Also, related examples and their illustrations are given. © 2014 Department of Mathematics, University of Osijek.