INVESTIGADORES
MONTANI Hugo Santos
artículos
Título:
Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group
Autor/es:
S, CAPRIOTTI; H. MONTANI
Revista:
JOURNAL OF MATHEMATICAL PHYSICS
Editorial:
AMER INST PHYSICS
Referencias:
Año: 2011 vol. 52 p. 1 - 33
ISSN:
0022-2488
Resumen:
We study some symplectic submanifolds in the cotangent bundle of a factorizable Lie group defined by second class constraints. By applying the Dirac method, we study many issues of these spaces as fundamental Dirac brackets, symmetries, and collective dynamics. As the main application, we study integrable systems on these submanifolds as inherited from a system on the whole cotangent bundle, meeting in a natural way with the Adler-Kostant-Symes theory of integrability.
