ELASTICA ON 2-DIMENSIONAL ANTI-DE SITTER SPACE


YÜCESAN A. , Oral M.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.8, no.1, pp.107-113, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2011
  • Doi Number: 10.1142/s0219887811005002
  • Title of Journal : INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Page Numbers: pp.107-113

Abstract

We derive differential equations for non-null elastic curves on 2-dimensional anti-de Sitter space. Then, we solve these differential equations in terms of Jacobi's elliptic functions. Also, we give a relation between curvature and torsion of elastic curve on 2-dimensional anti-de Sitter space.