# Variational calculus on Lie algebroids

@article{Martnez2006VariationalCO,
title={Variational calculus on Lie algebroids},
author={Eduardo Mart{\'i}nez},
journal={ESAIM: Control, Optimisation and Calculus of Variations},
year={2006},
volume={14},
pages={356-380}
}
• E. Martínez
• Published 9 March 2006
• Mathematics
• ESAIM: Control, Optimisation and Calculus of Variations
It is shown that the Lagrange's 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 Lagrangian reduction and the relation with the method of Lagrange multipliers are also studied.
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