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Opis

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).

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Geometry

• Pełny tytuł: Symplectic Geometry of Integrable Hamiltonian Systems
• Autor: Mich, Ana Cannas da Silva, Eugene Lerman
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 226
• EAN: 9783764321673
• ISBN: 3764321679
• ID: 01716057
• Wydawca: Birkhauser Verlag AG
• Waga: 940 g
• Wymiary: 244 × 170 × 14 mm
• Data wydania: 24. April 2003

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