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Symplectic Geometry of Integrable Hamiltonian Systems (Paperback, 2003 ed.) Loot Price: R1,739
Discovery Miles 17 390
Symplectic Geometry of Integrable Hamiltonian Systems (Paperback, 2003 ed.): Michele Audin, Ana Cannas Da Silva, Eugene Lerman

Symplectic Geometry of Integrable Hamiltonian Systems (Paperback, 2003 ed.)

Michele Audin, Ana Cannas Da Silva, Eugene Lerman

Series: Advanced Courses in Mathematics - CRM Barcelona

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Loot Price R1,739 Discovery Miles 17 390 | Repayment Terms: R163 pm x 12*

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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).

General

Imprint: Birkhauser Verlag AG
Country of origin: Switzerland
Series: Advanced Courses in Mathematics - CRM Barcelona
Release date: April 2003
First published: 2003
Authors: Michele Audin • Ana Cannas Da Silva • Eugene Lerman
Dimensions: 244 x 170 x 12mm (L x W x T)
Format: Paperback
Pages: 226
Edition: 2003 ed.
ISBN-13: 978-3-7643-2167-3
Categories: Books > Science & Mathematics > Mathematics > Geometry > General
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LSN: 3-7643-2167-9
Barcode: 9783764321673

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