Variational calculus on Lie algebroids
Abstract
Description
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.
Small changes. Corrected typos
Small changes. Corrected typos