ON THE INVARIANTS OF TIME-LIKE DUAL CURVES


Turgut M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.37, no.2, pp.129-133, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 2
  • Publication Date: 2008
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.129-133
  • Keywords: Dual numbers, Time-like dual curve, Lorentzian space
  • Dokuz Eylül University Affiliated: No

Abstract

In this work, for a time-like dual curve in D(1)(3), a system of differential equation is established whose solution gives the components of the position vector on the dual Frenet axis. By means of some special solutions of this system, some characterizations are presented, such as the position vector of a time-like dual curve with constant dual curvature and torsion.