Symplectic Geometry of Integrable Hamiltonian Systems

by Eugene Lerman, Michèle Audin, Ana Cannas da Silva

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric...

• Format: Paperback
• Language: English
• ISBN: 3764321679
• ISBN13: 9783764321673
• Release Date: April 2003
• Publisher: Birkhauser
• Length: 226 Pages
• Weight: 1.35 lbs.
• Dimensions: 0.5" x 7.0" x 10.0"