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arXiv · 0708.1586

Multisymplectic and polysymplectic structures on fiber bundles

Michael Forger·Leandro G. Gomes
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Abstract

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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BibTeXRIS

Michael Forger, Leandro G. Gomes. 2007-08-11. Multisymplectic and polysymplectic structures on fiber bundles. https://doi.org/10.1142/s0129055x13500189

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