Volume 14, Number 2, April-June 2008
|Page(s)||356 - 380|
|Published online||20 March 2008|
Variational calculus on Lie algebroids
Departamento de Matemática Aplicada,
Facultad de Ciencias,
Universidad de Zaragoza,
50009 Zaragoza, Spain; firstname.lastname@example.org
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.
Mathematics Subject Classification: 49S05 / 49K15 / 58D15 / 70H25 / 17B66 / 22A22
Key words: Variational calculus / Lagrangian mechanics / Lie algebroids / reduction of dynamical systems / Euler-Poincaré equations / Lagrange-Poincaré equations
© EDP Sciences, SMAI, 2008
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