Poisson structures and their normal forms / Jean-Paul Dufour, Nguyen Tien Zung.
"Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On t...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Ebook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser Verlag,
[2005]
|
| Series: | Progress in mathematics (Boston, Mass.) ;
v. 242. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | "Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects, including singular foliations, Lie groupoids and Lie algebroids. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books."--Publisher description. |
|---|---|
| Physical Description: | 1 online resource (xv, 321 pages) : illustrations. |
| Format: | Mode of access: World Wide Web. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1280413182 3764373350 9781280413186 9783764373351 |