Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics) - Hardcover

Ivey, Thomas A.; Landsberg, J. M.

Hardcover

ISBN 10: 0821833758 ISBN 13: 9780821833759

Publisher: Amer Mathematical Society, 2003

Synopsis

Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents the treatments of both subjects, including their applications to both classic and contemporary problems. It features an introduction to $G$-structures and a treatment of the theory of connections.

About this title

About the Author

Thomas A. Ivey: College of Charleston, Charleston, SC, Joseph M. Landsberg: Texas A&M University, College Station, TX

Review

[T]his book, like the first edition, is an excellent source for graduate students and professional mathematicians who want to learn about moving frames and G-structures in trying to understand differential geometry. --Thomas Garrity, Mathematical Reviews

All the material is carefully developed, many examples supporting the understanding. The reviewer warmly recommends this volume to mathematical university libraries. --Gabriel Eduard Vilcu, Zentralblatt MATH

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 2003
• ISBN 10: 0821833758
• ISBN 13: 9780821833759
• Binding: Hardcover
• Language: English
• Number of pages: 378