Variational calculus on Lie algebroids

Details Variational calculus on Lie algebroids Variational calculus on Lie algebroids

2006-03-09

arxiv.org/abs/math-ph/0603028v2

Physics

Mathematical Physics

Small changes. Corrected typos

Scientific paper

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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