The momentum map for nonholonomic field theories with symmetry
arXiv:math-ph/0507059 · doi:10.1142/S0219887805000971
Abstract
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.