Variational calculus on Lie algebroids
Abstract
It is shown that the Euler-Lagrange 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:
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arXiv e-prints
- Pub Date:
- March 2006
- arXiv:
- arXiv:math-ph/0603028
- Bibcode:
- 2006math.ph...3028M
- Keywords:
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- Mathematical Physics;
- Mathematics - Differential Geometry;
- Mathematics - Mathematical Physics;
- Mathematics - Optimization and Control;
- 49S05;
- 22A22
- E-Print:
- Small changes. Corrected typos