Bi-para-mechanical systems on the bi-Lagrangian manifold

Tekkoyun M., Sari M.

PHYSICA B-CONDENSED MATTER, vol.405, no.10, pp.2390-2393, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 405 Issue: 10
  • Publication Date: 2010
  • Doi Number: 10.1016/j.physb.2010.02.052
  • Journal Name: PHYSICA B-CONDENSED MATTER
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2390-2393
  • Keywords: Para-complex geometry, Para-Lagrangian, Para-Hamiltonian, Bi-Lagrangian, EQUATIONS, CONNECTIONS, GEOMETRY
  • Istanbul Technical University Affiliated: No

Abstract

This paper explores the generalization of some techniques introduced in the papers (see [12,13]). Clearly, mechanical systems have been studied by means of the geometry of tangent bundle, more precisely, using polynomic structures on complex- and para-complex-manifolds. Also, formalisms of Lagrangian and Hamiltonian mechanics have intrinsically been described on the bi-Lagrangian manifold. This study showed that physically working on a subdomain of a manifold has been seen to be the same as working on the manifold. (C) 2010 Elsevier B.V. All rights reserved.