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On the global version of Euler-Lagrange equations

数学物理 2016-08-16 v1 微分几何 math.MP

摘要

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.

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引用

@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}
}

备注

5 pages, 1 figure