Introduction to Foliations and Lie Groupoids / Edition 1

by I. Moerdijk, J. Mrcun

Overview

Based on a graduate course taught at Utrecht University, this book provides a short introduction to the theory of Foliations and Lie Groupoids to students who have already taken a first course in differential geometry. Ieke Moerdijk and Janez Mrcun include detailed references to enable students to find the requisite background material in the research literature. The text features many exercises and worked examples.

Product Details

ISBN-13:	9780521831970
Publisher:	Cambridge University Press
Publication date:	09/18/2003
Series:	Cambridge Studies in Advanced Mathematics , #91
Edition description:	New Edition
Pages:	184
Product dimensions:	6.22(w) x 9.29(h) x 0.71(d)

Table of Contents

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.

What People are Saying About This

From the Publisher

"This book, though relatively short, is packed with interesting information. The student who would like a brief but substantial introduction to foliation theory will find it rewarding, but should be prepared for some hard work. There are many exercises, often challenging, and these illuminate the ideas and sometimes incorporate significant steps of proofs." Bulletin of the American Mathematical Society

Editorial Reviews

"This book, though relatively short, is packed with interesting information. The student who would like a brief but substantial introduction to foliation theory will find it rewarding, but should be prepared for some hard work. There are many exercises, often challenging, and these illuminate the ideas and sometimes incorporate significant steps of proofs." Bulletin of the American Mathematical Society

From the Publisher