On the relaxed elastic line on pseudo-hypersurfaces in pseudo-Euclidean spaces

Yucesan A., Coken A., Ayyildiz N., Manning G.

APPLIED MATHEMATICS AND COMPUTATION, vol.155, no.2, pp.353-372, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 155 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1016/s0096-3003(03)00782-3
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.353-372
  • Keywords: relaxed elastic line, pseudo-Euclidean spaces, intrinsic equation, geodesics, Euler-Lagrange equations, SURFACE
  • Akdeniz University Affiliated: No

Abstract

In this work, we studied some elasticity problems for a curve on pseudo-hypersurfaces in pseudo-Euclidean spaces E-v(n). We obtained intrinsic equations for an elasticity line depending on boundary conditions and researched if an elastic line is on a geodesic. We derived the Euler-Lagrange equations for an elastic line which is lying on a pseudohypersurface. (C) 2003 Elsevier Inc. All rights reserved.