The momentum map for nonholonomic field theories with symmetry

Details The momentum map for nonholonomic field theories with symmetry The momentum map for nonholonomic field theories with symmetry

2005-07-21

arxiv.org/abs/math-ph/0507059v1

Int.J.Geom.Meth.Mod.Phys. 2 (2005) 1029-1042

Physics

Mathematical Physics

Scientific paper

10.1142/S0219887805000971

In this note, we introduce a suitable generalization of the momentum map for
nonholonomic field theories and prove a covariant form of the nonholonomic
momentum equation. We show that these covariant objects coincide with their
counterparts in mechanics by making the transition to the Cauchy formalism.

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