
Differential Systems and Isometric Embeddings
Princeton University Press
Published on 21. May 1987
Book
Paperback/Softback
238 pages
978-0-691-08430-5 (ISBN)
Description
The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds.
More details
Series
Language
English
Place of publication
New Jersey
United States
Target group
Professional and scholarly
College/higher education
Product notice
Paperback (trade)
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 15 mm
Weight
396 gr
ISBN-13
978-0-691-08430-5 (9780691084305)
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Schweitzer Classification
Other editions
Additional editions

Phillip A. Griffiths | Gary R. Jensen
Differential Systems and Isometric Embeddings
E-Book
06/2016
1st Edition
Princeton University Press
€102.99
Available for download
Persons
Phillip A. Griffiths & Gary R. Jensen
Content
*Frontmatter, pg. i*Contents, pg. vii*Preface, pg. ix*Commonly used notation, pg. xi*1. Introduction, pg. 1*2. Structure equations of Xn EN, pg. 14*3. Pfaffian differential systems, pg. 32*4. Quasi-linear Pfaffian differential system, pg. 58*5. The isometric embedding system, pg. 89*6. The characteristic variety, pg. 112*7. Isometric embeddings of space forms, pg. 156*8. Embedding Cauchy-Riemann structures, pg. 194*References, pg. 213*Index, pg. 219