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.

Small changes. Corrected typos

Cited by in corpus (1)

• Singular lagrangian systems and variational constrained mechanics on Lie algebroids