The Canonical Reduction Method for Symplectic Structures and Its Applications

The canonical reduction method is analized in detail and applied to Maxwell and Yang– Mills equations considered as Hamiltonian systems on some fiber bundles with symplectic and connection structures. The minimum interaction principle is proved to have geometric origin within the reduction method...

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Bibliographic Details
Date:2001
Main Authors: Prykarpatsky, A.K., Samoilenko, V.H.
Format: Article
Language:English
Published: Інститут математики НАН України 2001
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/174694
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Canonical Reduction Method for Symplectic Structures and Its Applications / A.K. Prykarpatsky, V.H. Samoilenko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 354-367. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine