Vetenskap & teknik
Pocket
Symplectic Geometry of Integrable Hamiltonian Systems
Michle Audin • Ana Cannas Da Silva • Eugene Lerman
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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 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).
- Format: Pocket/Paperback
- ISBN: 9783764321673
- Språk: Engelska
- Antal sidor: 226
- Utgivningsdatum: 2003-04-01
- Förlag: Birkhauser Verlag AG