Multisymplectic and polysymplectic structures on fiber bundles

Details Multisymplectic and polysymplectic structures on fiber bundles Multisymplectic and polysymplectic structures on fiber bundles

2007-08-11

arxiv.org/abs/0708.1586v2

Mathematics

Differential Geometry

Scientific paper

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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