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arXiv 2006-03-09 0 views

Variational calculus on Lie algebroids

Martinez, Eduardo

Original · EN

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.

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