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Symplectic Geometry of Integrable Hamiltonian Systems

Author: Michèle Audin; Ana Cannas Silva; Eugene Lerman
Publisher: Basel : Birkhäuser Basel : Imprint : Birkhäuser, 2003.
Series: Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michèle Audin; Ana Cannas Silva; Eugene Lerman
ISBN: 9783034880718 3034880715 0817621679 9780817621674
OCLC Number: 851738080
Description: 1 online resource (240 pages).
Contents: A. Lagrangian Submanifolds (M. Audin) --
B. Symplectic Toric Manifolds (A. Cannas da Silva) --
C. Geodesic Flows and Contact Toric Manifolds (E. Lerman).
Series Title: Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica.
Responsibility: by Michèle Audin, Ana Cannas Silva, Eugene Lerman.

Abstract:

Among all the Hamiltonian systems, the integrable ones have special geometric properties; This book serves as an introduction to symplectic and contact geometry for graduate students, exploring the  Read more...

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"This book, an expanded version of the lectures delivered by the authors at the 'Centre de Recerca Matematica' Barcelona in July 2001, is designed for a modern introduction to symplectic and contact Read more...

 
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