Variational Problems with Symmetries: A Pfaffian System Approach

Research paper by Paola Morando, Serena Sammarco

Indexed on: 05 May '12Published on: 05 May '12Published in: Acta Applicandae Mathematicae


Reduction methods for completely integrable Pfaffian Systems with symmetry are applied to variational problems, providing analogues of the Arnold–Liouville Theorem and Marsden–Weinstein reduction in the Lagrangian setting. A generalization of the Mishchenko–Fomenko Theorem for non Abelian integrability is given in terms of solvable structures.