Symplectic Geometry of Integrable Hamiltonian Systems

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Symplectic Geometry of Integrable Hamiltonian Systems - Audin, Michele, and Cannas Da Silva, Ana, and Lerman, Eugene
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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 manifolds (Part B of this book). Physics makes a surprising come-back in Part ...

Symplectic Geometry of Integrable Hamiltonian Systems 2003, Birkhauser, Basel, Switzerland

ISBN-13: 9783764321673

2003 edition

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