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- Title
Variational Problems with Symmetries: A Pfaffian System Approach.
- Authors
Morando, Paola; Sammarco, Serena
- Abstract
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.
- Subjects
PFAFFIAN systems; MATHEMATICAL symmetry; GENERALIZATION; NONABELIAN groups; LAGRANGE equations; ORDINARY differential equations; MATHEMATICAL variables
- Publication
Acta Applicandae Mathematicae, 2012, Vol 120, Issue 1, p255
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-012-9720-4