Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
The Canonical Reduction Method for Symplectic Structures and Its Applications
Репозиторій DSpace/Manakin
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The Canonical Reduction Method for Symplectic Structures and Its Applications
Інші назви:
Метод канонічної редукції для симплектичних структур та його застосування
Метод канонической редукции для симплектических структур и его приложения
Метод канонической редукции для симплектических структур и его приложения
Посилання:
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.
Підтримка:
One of the authors (A.P.) is cordially indebted to Prof. B.A. Kupershmidt for sending a set
of inspiring reprints of his papers some of which are cited through this work as well as to Prof.
J. Zagrodzinski for sending his paper before publication.
Special thanks for nice hospitality and warm research atmosphere are due to the staff of
Department of Physics at the EMU of N.Cyprus, especially to Profs. M. Halilsoy, E. Aydiroglu, Ufuk Taneri and Ping Zhang for valuable discussions of problems under study
Дата:
2001
Переглядів:
266
Завантажень:
85
Анотація:
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 devised.
