English

The momentum map for nonholonomic field theories with symmetry

Mathematical Physics 2007-05-23 v1 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0507059,
  title  = {The momentum map for nonholonomic field theories with symmetry},
  author = {Joris Vankerschaver},
  journal= {arXiv preprint arXiv:math-ph/0507059},
  year   = {2007}
}