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 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 157 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1016/j.amc.2003.09.001
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.483-489
  • Kocaeli University Affiliated: Yes

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.