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Title: Symplectic Geometry of Integrable Hamiltonian Systems ([EBook] /) / by Michèle Audin, Ana Cannas da Silva, Eugene Lerman. Dewey Class: 516.36 Author: Audin, Michèle. Added Personal Name: Silva, Ana Cannas da. author. Lerman, Eugene. author. Publication: Basel : : Birkhäuser Basel : : Imprint: Birkhäuser,, 2003. Other name(s): SpringerLink (Online service) Physical Details: X, 226 p. : online resource. Series: Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica ISBN: 9783034880718 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) Summary Note: 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).: Contents note: A Lagrangian Submanifolds -- I Lagrangian and special Lagrangian immersions in C“ -- II Lagrangian and special Lagrangian submanifolds in symplectic and Calabi-Yau manifolds -- B Symplectic Toric Manifolds -- I Symplectic Viewpoint -- II Algebraic Viewpoint -- C Geodesic Flows and Contact Toric Manifolds -- I From toric integrable geodesic flows to contact toric manifolds -- II Contact group actions and contact moment maps -- III Proof of Theorem I.38 -- List of Contributors. ------------------------------ *** Non c'è alcun posseduto per questo Record *** -----------------------------------------------
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