Symplectic Geometry of Integrable Hamiltonian Systems (Advanced Courses in Mathematics - CRM Barcelona) - Softcover

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

 
9783764321673: Symplectic Geometry of Integrable Hamiltonian Systems (Advanced Courses in Mathematics - CRM Barcelona)
Softcover
ISBN 10: 3764321679 ISBN 13: 9783764321673
Verlag: Springer, 2008

Inhaltsangabe

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).

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Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3764321679
ISBN 13 
9783764321673
Einband
Taschenbuch
Anzahl der Seiten
240
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9780817621674: Symplectic Geometry of Integrable Hamiltonian Systems (Advanced Courses in Mathematics: CRM Barcelona)

Vorgestellte Ausgabe

ISBN 10:  0817621679 ISBN 13:  9780817621674
Verlag: SPRINGER NATURE, 2004
Softcover