Articoli correlati a Poison Structures And Their Normal Forms: 242

Poison Structures And Their Normal Forms: 242 - Rilegato

Libro 50 di 169: Progress in Mathematics

Dufour, Jean-Paul; Zung, Nguyen Tien

 
9783764373344: Poison Structures And Their Normal Forms: 242
Rilegato
ISBN 10: 3764373342 ISBN 13: 9783764373344
Casa editrice: Birkhauser, 2005

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

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.

Product Description

Book by Dufour JeanPaul Zung Nguyen Tien

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Birkhauser
Data di pubblicazione
2005
Lingua
Inglese
ISBN 10 
3764373342
ISBN 13 
9783764373344
Rilegatura
Copertina rigida
Numero di pagine
339
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