Format:
1 Online-Ressource (240p)
ISBN:
9783034880718
,
9783764321673
Series Statement:
Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica
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)
Language:
English
Keywords:
Hamiltonsches System
;
Integrables System
;
Symplektische Geometrie
;
Konferenzschrift
;
Konferenzschrift
DOI:
10.1007/978-3-0348-8071-8
URL:
Volltext
(lizenzpflichtig)
