Topics in Differential Geometry

by Michor, Peter W.; Cox, David; Krantz, Steven G.; Mazzeo, Rafe; Scharlemann, Martin

• ISBN13: 9780821820032
• ISBN10: 0821820036
• Format: Hardcover
• Copyright: 2008-08-28
• Publisher: Amer Mathematical Society

Summary

"This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry. It gives the careful reader working knowledge in a wide range of topics of modern coordinate-free differential geometry in not too many pages. A prerequisite for using this book is a good knowledge of undergraduate analysis and linear algebra."--BOOK JACKET.

Table of Contents

Manifolds and vector fields

Lie groups and group actions

Differential forms and de Rham cohomology

Bundles and connections

Riemann manifolds Isometric group actions or Riemann $G$-manifolds

Symplectic and Poisson geometry

List of symbols

Bibliography

Index

Table of Contents provided by Publisher. All Rights Reserved.