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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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Über die Autorin bzw. den Autor

Michèle Audin is professor at Strasbourg (Université Louis Pasteur). She uses to lecture on geometry all university levels, but also happens to teach various topics, such as complex analysis, Galois theory or algebraic topology. As a researcher, she is a specialist of symplectic geometry, a subject on which she has published research articles and a few books, especially on spinning tops and integrable systems.

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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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Weitere beliebte Ausgaben desselben Titels

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