Symplectic Geometry of Integrable Hamiltonian Systems

2003
ISBN: 978-3-7643-2167-3
Verlag: Springer

Buch, Englisch, 226 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 422 g

Reihe: Advanced Courses in Mathematics - CRM Barcelona

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. This book serves as an introduction to symplectic and contact geometry for graduate students, exploring the underlying geometry of integrable Hamiltonian systems. Includes exercises designed to complement the expositiont, and up-to-date references.

Zielgruppe

Graduate

Autoren/Hrsg.

Audin, Michèle

Cannas Da Silva, Ana

Lerman, Eugene

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Topologie Analytische Topologie

Inhaltsverzeichnis

A Lagrangian Submanifolds.- I Lagrangian and special Lagrangian immersions in C“.- II Lagrangian and special Lagrangian submanifolds in symplectic and Calabi-Yau manifolds.- B Symplectic Toric Manifolds.- I Symplectic Viewpoint.- II Algebraic Viewpoint.- C Geodesic Flows and Contact Toric Manifolds.- I From toric integrable geodesic flows to contact toric manifolds.- II Contact group actions and contact moment maps.- III Proof of Theorem I.38.- List of Contributors.