A ug 2 00 7 Multisymplectic and Polysymplectic Structures on Fiber Bundles
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چکیده
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. Universidade de São Paulo RT-MAP February 2008 Work partially supported by CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nı́vel Superior) and CNPq (Conselho Nacional de Desenvolvimento Cient́ıfico e Tecnológico), Brazil Work done in partial fulfillment of the requirements for the degree of Doctor in Science
منابع مشابه
Multisymplectic and Polysymplectic Structures on Fiber Bundles
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. Universidade de São Paulo RT-MAP-0702 De...
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تاریخ انتشار 2008