Variational Problems with Symmetries: A Pfaffian System Approach
Reduction methods for completely integrable Pfaffian Systems with symmetry are applied to variational problems, providing analogues of the ArnoldLiouville Theorem and MarsdenWeinstein reduction in the Lagrangian setting. Ageneralization of the MishchenkoFomenko Theorem for non Abelian integrability is given in terms of solvable structures.
variational problems pfaffian systems reduction by symmetries 34c14 70h33