Description
Birkhauser Poisson Structures And Their Normal Forms 2005 Edition by Jean-Paul Dufour Nguyen Tien Zung
The aim of this book is twofold. On the one hand it gives a quick self-contained introduction to Poisson geometry and related subjects. 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. Table of contents : 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.