Poisson Structures and Their Normal Forms (eBook)

Jean-Paul Dufour, Nguyen Tien Zung (Autoren)

eBook Download: PDF

2006 | 2005
XV, 324 Seiten
Springer Basel (Verlag)
978-3-7643-7335-1 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 17.1.2006
• Reihe/Serie: Progress in Mathematics
• Reihe/Serie: Progress in Mathematics
• Zusatzinfo: XV, 321 p.
• Verlagsort: Basel
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: cohomology • Geometry • Homology • Lie • Lie Theory • manifold • Poisson structure
• ISBN-10: 3-7643-7335-0 / 3764373350
• ISBN-13: 978-3-7643-7335-1 / 9783764373351