| Dewey Class |
516.36 |
| Titel |
Symplectic Geometry of Integrable Hamiltonian Systems ([EBook] /) / by Michèle Audin, Ana Cannas da Silva, Eugene Lerman. |
| Verfasser |
Audin, Michèle |
| Added Personal Name |
Silva, Ana Cannas da author. |
| Lerman, Eugene author. |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
Basel : : Birkhäuser Basel : : Imprint: Birkhäuser, , 2003. |
| Physical Details |
X, 226 p. : online resource. |
| Reihe |
Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemática |
| ISBN |
9783034880718 |
| 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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-0348-8071-8 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Complex manifolds .
Differential Geometry .
Manifolds and Cell Complexes (incl. Diff.Topology) .
Manifolds (Mathematics) .
Mathematical Methods in Physics .
Mathematics .
Physics .
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