Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics)
Language: English
Published by American Mathematical Society, 2016
- Hardcover
- New
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- Title
- Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics)
- Author
- Thomas A. Ivey; Joseph M. Landsberg
- Publisher
- American Mathematical Society
- Publication year
- 2016
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 1470409860
- ISBN 13
- 9781470409869
- Edition
- 2nd Edition
- Series
- Book 45 of 190: Graduate Studies in Mathematics
Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. As well, the book features an introduction to $G$-structures and a treatment of the theory of connections. The techniques of EDS are also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence.
This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as geometry of PDE systems and complex algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields.
The second edition features three new chapters: on Riemannian geometry, emphasizing the use of representation theory; on the latest developments in the study of Darboux-integrable systems; and on conformal geometry, written in a manner to introduce readers to the related parabolic geometry perspective.
"Synopsis" may belong to another edition of this title.
About the Author
Joseph M. Landsberg, Texas A&M University, College Station, TX.
"About the title" may belong to another edition of this title.
Books Puddle
Woodside, NY, U.S.A.
AbeBooks seller since November 22, 2018
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