The Canonical Reduction Method for Symplectic Structures and Its Applications

• Published in: Нелінійні коливання
• Date: 2001
• Main Authors: Prykarpatsky, A.K., Samoilenko, V.H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2001
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/174694
• 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.

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
 wit...