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math-ph2000
Some geometric aspects of variational calculus in constrained mechanics
Xavier Gracia, Jesus Marin-Solano, Miguel-C. Munoz-Lecanda
We give a geometric description of variational principles in mechanics, with special attention to constrained systems. For the general case of nonholonomic constraints, a unified v…
math-ph1999
Reduction of Presymplectic Manifolds with Symmetry
A. Echeverrí a-Enrí quez, M. C. Muñoz-Lecanda, N. Román-Roy
Actions of Lie groups on presymplectic manifolds are analyzed, introducing the suitable comomentum and momentum maps. The subsequent theory of reduction of presymplectic dynamical…