Symplectic Geometry of Integrable Hamiltonian Systems

Name: Symplectic Geometry of Integrable Hamiltonian Systems
SKU: 2828828
Price: 161.00 NZD
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Paperback / softback

Series:

Advanced Courses in Mathematics: CRM Barcelona

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Description

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).

Release date NZ

April 24th, 2003

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

X, 226 p.

Pages

226

Series

Advanced Courses in Mathematics: CRM Barcelona

Dimensions

170x244x12

ISBN-13

9783764321673

Product ID

2828828

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