| 书目名称 | Symplectic Geometry of Integrable Hamiltonian Systems |
| 编辑 | Michèle Audin,Ana Cannas Silva,Eugene Lerman |
| 视频video | |
| 概述 | Expanded lecture notes originating from a summer school at the CRM Barcelona.Serves as an introduction to symplectic and contact geometry for graduate students.Explores the underlying (symplectic) geo |
| 丛书名称 | Advanced Courses in Mathematics - CRM Barcelona |
| 图书封面 |  |
| 描述 | .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).. |
| 出版日期 | Textbook 2003 |
| 关键词 | Differential Geometry; Integrable Systems; contact geometry; manifold; symplectic geometry |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-8071-8 |
| isbn_softcover | 978-3-7643-2167-3 |
| isbn_ebook | 978-3-0348-8071-8Series ISSN 2297-0304 Series E-ISSN 2297-0312 |
| issn_series | 2297-0304 |
| copyright | Springer Basel AG 2003 |
发表于 2025-3-21 17:30:18
