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Symplectic Geometry Of Integrable Hamiltonian Systems(2003rd Edition)
Authors:
Michele Audin ,Ana Cannas Da Silva ,Eugene Lerman
Cover Type:Hardcover
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ISBN: 1443710733, 978-1443710732
Book publisher: Birkhauser
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Book Summary: 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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