Variational calculus on Lie algebroids
Abstract
It is shown that the EulerLagrange equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a Banach manifold of curves. The theory of reduction and the relation with Lagrange multiplier method are also studied.
 Publication:

arXiv eprints
 Pub Date:
 March 2006
 DOI:
 10.48550/arXiv.mathph/0603028
 arXiv:
 arXiv:mathph/0603028
 Bibcode:
 2006math.ph...3028M
 Keywords:

 Mathematical Physics;
 Mathematics  Differential Geometry;
 Mathematics  Mathematical Physics;
 Mathematics  Optimization and Control;
 49S05;
 22A22
 EPrint:
 Small changes. Corrected typos