English

On the global version of Euler-Lagrange equations

Mathematical Physics 2016-08-16 v1 Differential Geometry math.MP

Abstract

The introduction of a covariant derivative on the velocity phase space is needed for a global expression of Euler-Lagrange equations. The aim of this paper is to show how its torsion tensor turns out to be involved in such a version.

Keywords

Cite

@article{arxiv.math-ph/0305045,
  title  = {On the global version of Euler-Lagrange equations},
  author = {R. E. Gamboa Saraví and J. E. Solomin},
  journal= {arXiv preprint arXiv:math-ph/0305045},
  year   = {2016}
}

Comments

5 pages, 1 figure