
Poisson Structures and Their Normal Forms
Birkhäuser (Publisher)
Published on 16. September 2005
Book
Hardback
XV, 324 pages
978-3-7643-7334-4 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
XV, 324 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 25 mm
Weight
682 gr
ISBN-13
978-3-7643-7334-4 (9783764373344)
DOI
10.1007/b137493
Schweitzer Classification
Other editions
Additional editions

Jean-Paul Dufour | Nguyen Tien Zung
Poisson Structures and Their Normal Forms
E-Book
01/2006
1st Edition
Birkhäuser
€128.39
Available for download
Content
Generalities on Poisson Structures.- Poisson Cohomology.- Levi Decomposition.- Linearization of Poisson Structures.- Multiplicative and Quadratic Poisson Structures.- Nambu Structures and Singular Foliations.- Lie Groupoids.- Lie Algebroids.