On the developable time-like trajectory 3 ruled surfaces in a Lorentz 3-space R-1(3)


Kucuk A.

APPLIED MATHEMATICS AND COMPUTATION, vol.157, no.2, pp.483-489, 2004 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 157 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1016/j.amc.2003.09.001
  • Title of Journal : APPLIED MATHEMATICS AND COMPUTATION
  • Page Numbers: pp.483-489

Abstract

In this paper, the trajectory ruled surface in a Lorentz space in R-1(3) is given by a firmly connected time-like oriented line moving with Frenet's frame along space-like curve. Some theorems and results between curvatures of the base curve and distribution parameter of this surface are obtained. And also, some relationships among geodesic curvature, normal curvature, geodesic torsion and the curvatures of space-like the base curve of a time-like trajectory ruled surface are found. (C) 2003 Elsevier Inc. All rights reserved.