On the global version of Euler-Lagrange equations

On the global version of Euler-Lagrange equations

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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Veröffentlicht in:arXiv.org 2003-05
Hauptverfasser: Gamboa Saraví, R E, Solomin, J E
Format: Artikel
Sprache:eng
Schlagworte:
Euler-Lagrange equation
Mathematical analysis
Tensors
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0305045