Buch, Englisch, Band 91, 184 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 426 g
Buch, Englisch, Band 91, 184 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 426 g
Reihe: Cambridge Studies in Advanced Mathematics
ISBN: 978-0-521-83197-0
Verlag: Cambridge University Press
This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Algebra Homologische Algebra
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
- Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
- Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
- Mathematik | Informatik Mathematik Topologie Analytische Topologie
Weitere Infos & Material
Preface; Prerequisites; 1. Foliations; 2. Holonomy and stability; 3. Two classical theorems; 4. Molino's theory; 5. Lie groupoids; 6. Lie algebroids; References and further reading; Index.
