The momentum map for nonholonomic field theories with symmetry

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.

References in corpus (3)

• Symmetries in Classical Field Theory
• Geometric Structures in Field Theory
• Nonholonomic constraints in classical field theories

Cited by in corpus (5)

• Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories
• A class of nonholonomic kinematic constraints in elasticity
• Symmetry aspects of nonholonomic field theories
• Multi-Dirac Structures and Hamilton-Pontryagin Principles for Lagrange-Dirac Field Theories
• Covariant momentum map for non-Abelian topological BF field theory