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Poisson Structures and Their Normal Forms
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2005.
|
| Edición: | 1st ed. 2005. |
| Colección: | Progress in Mathematics,
242 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-7643-7335-1 | ||
| 003 | DE-He213 | ||
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| 008 | 100301s2005 sz | s |||| 0|eng d | ||
| 020 | |a 9783764373351 |9 978-3-7643-7335-1 | ||
| 024 | 7 | |a 10.1007/b137493 |2 doi | |
| 050 | 4 | |a QA252.3 | |
| 050 | 4 | |a QA387 | |
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| 082 | 0 | 4 | |a 512.55 |2 23 |
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| 100 | 1 | |a Dufour, Jean-Paul. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Poisson Structures and Their Normal Forms |h [electronic resource] / |c by Jean-Paul Dufour, Nguyen Tien Zung. |
| 250 | |a 1st ed. 2005. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2005. | |
| 300 | |a XV, 321 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Progress in Mathematics, |x 2296-505X ; |v 242 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 1 | 4 | |a Topological Groups and Lie Groups. |
| 700 | 1 | |a Zung, Nguyen Tien. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783764390891 |
| 776 | 0 | 8 | |i Printed edition: |z 9783764373344 |
| 830 | 0 | |a Progress in Mathematics, |x 2296-505X ; |v 242 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/b137493 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||