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...
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| Autor Corporativo: | |
| Otros Autores: | , , , |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel
2005.
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| Colección: | Progress in Mathematics ;
242. Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32748383*spi |
| Sumario: | 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. |
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| Descripción Física: | XV, 321 p. |
| Formato: | Forma de acceso: World Wide Web. |
| ISBN: | 9783764373351 |
