# Momentum maps and classical relativistic fields. Part 1: Covariant Field Theory

@article{Gotay1997MomentumMA, title={Momentum maps and classical relativistic fields. Part 1: Covariant Field Theory}, author={Mark J. Gotay and James Allen Isenberg and Jerrold E. Marsden and Richard Montgomery}, journal={arXiv: Mathematical Physics}, year={1997} }

This is the first paper of a five part work in which we study the Lagrangian and Hamiltonian structure of classical field theories with constraints. Our goal is to explore some of the connections between initial value constraints and gauge transformations in such theories (either relativistic or not). To do this, in the course of these four papers, we develop and use a number of tools from symplectic and multisymplectic geometry. Of central importance in our analysis is the notion of the…

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