Multisymplectic and polysymplectic structures on fiber bundles
Differential Geometry
2014-12-12 v2 Mathematical Physics
math.MP
Symplectic Geometry
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.
Cite
@article{arxiv.0708.1586,
title = {Multisymplectic and polysymplectic structures on fiber bundles},
author = {Michael Forger and Leandro G. Gomes},
journal= {arXiv preprint arXiv:0708.1586},
year = {2014}
}