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arxiv: math-ph/0507059 · v1 · submitted 2005-07-21 · 🧮 math-ph · math.MP

The momentum map for nonholonomic field theories with symmetry

classification 🧮 math-ph math.MP
keywords momentumnonholonomiccovariantfieldtheoriescauchycoincidecounterparts
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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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