Variational calculus on Lie algebroids

  title={Variational calculus on Lie algebroids},
  author={Eduardo Mart{\'i}nez},
  journal={ESAIM: Control, Optimisation and Calculus of Variations},
  • 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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