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Lagrangian Mechanics on Lie Algebroids.

Authors :
Martínez, Eduardo
Source :
Acta Applicandae Mathematicae; Jul2001, Vol. 67 Issue 3, p295-320, 26p
Publication Year :
2001

Abstract

A geometric description of Lagrangian Mechanics on Lie algebroids is developed in a parallel way to the usual formalism of Lagrangian Mechanics on the tangent bundle of a manifold. The dynamical system defined by a Lagrangian is shown to be symplectic in a generalized sense. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01678019
Volume :
67
Issue :
3
Database :
Complementary Index
Journal :
Acta Applicandae Mathematicae
Publication Type :
Academic Journal
Accession number :
50006525
Full Text :
https://doi.org/10.1023/A:1011965919259