Symplectic Geometry of Integrable Hamiltonian Systems - Couverture souple

Lerman, Eugene; Audin, Mich??le; Da Silva,, Ana Cannas

Couverture souple

ISBN 10 : 3764321679 ISBN 13 : 9783764321673

Editeur : Springer, 2008

Synopsis

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).

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 3764321679
• ISBN 13: 9783764321673
• Reliure: Broché
• Nombre de pages: 240
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne