Symplectic Geometry of Integrable Hamiltonian Systems /
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) toru...
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| Format: | eBook |
| Language: | English |
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Basel :
Birkhäuser Basel : Imprint : Birkhäuser,
2003.
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| Series: | Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (240 pages) |
| ISBN: | 9783034880718 (electronic bk.) 3034880715 (electronic bk.) |