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arXiv 2007-08-11 DOI 10.1142/S0129055X13500189 0 views

Multisymplectic and polysymplectic structures on fiber bundles

Forger, Michael · Gomes, Leandro G.

Original · EN

We introduce the concepts of a multisymplectic structure and a polysymplectic structure on a general fiber bundle over a general base manifold, define the concept of the symbol of a multisymplectic form, which is a polysymplectic form representing its leading order contribution, and prove Darboux theorems for the existence of canonical local coordinates.

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