Item description for Symplectic Geometry of Integrable Hamiltonian Systems (Advanced Courses in Mathematics - CRM Barcelona) by Michele Audin, Ana Cannas Da Silva & Eugene Lerman...
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 A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book).
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Est. Packaging Dimensions: Length: 0.5" Width: 7" Height: 9.75" Weight: 1.24 lbs.
Release Date Aug 5, 2004
Publisher Birkhäuser Basel
ISBN 3764321679 ISBN13 9783764321673
Availability 53 units. Availability accurate as of Oct 27, 2016 10:36.
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