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math-ph2007★ 9 cited
Symmetry aspects of nonholonomic field theories
J. Vankerschaver, D. Martin de Diego
The developments in this paper are concerned with nonholonomic field theories in the presence of symmetries. Having previously treated the case of vertical symmetries, we now deal…
math-ph2005★ 12 cited
The momentum map for nonholonomic field theories with symmetry
Joris Vankerschaver
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 t…