Multisymplectic and polysymplectic structures on fiber bundles

Forger M.; Gomes L.G.

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Multisymplectic and polysymplectic structures on fiber bundles

机译：Multisymplectic and polysymplectic structures on fiber bundles

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摘要

We propose new definitions of the concepts of a multisymplectic structure and of a polysymplectic structure which extend previous ones so as to cover the cases that are of interest in mathematical physics: they are tailored to apply to fiber bundles, rather than just manifolds, and at the same time they are sufficiently specific to allow us to prove Darboux theorems for the existence of canonical local coordinates. A key role is played by the notion of ?symbol? of a multisymplectic form, which is a polysymplectic form representing its leading order contribution, thus clarifying the relation between these two closely related but not identical concepts.

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来源
《Reviews in mathematical physics》 |2013年第9期|1350018-1-1350018-47|共47页
作者
Forger M.; Gomes L.G.;
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作者单位

Departamento de Mate?atica Aplicada, Instituto de Mate?atica e Estat?ystica, Universidade de S?ao Paulo, Caixa Postal 66281, BR-05314-970 S?ao Paulo, S.P, Brazil;

Instituto de Mate?atica e Computa?c?ao, Universidade Federal de Itajub?a, Caixa Postal 50, BR-37500-903 Itajub?a, M.G, Brazil;

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正文语种英语
中图分类理论物理学;
关键词
Classical field theory; Hamiltonian formalism; Multisymplectic geometry;

Multisymplectic and polysymplectic structures on fiber bundles

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