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Variational calculus on Lie algebroids

Published online by Cambridge University Press:  20 March 2008

Eduardo Martínez*
Affiliation:
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain; [email protected]
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Abstract

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.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2008

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