Differential Systems and Isometric Embeddings. (AM-114) (Annals of Mathematics Studies) (Annals of Mathematics Studies, 114) - Softcover

Griffiths, Phillip A.

Softcover

ISBN 10: 0691084300 ISBN 13: 9780691084305

Publisher: Princeton University Press, 1987

Synopsis

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.

Edition details

• Publisher: Princeton University Press
• Publication date: 1987
• Language: English
• ISBN 10: 0691084300
• ISBN 13: 9780691084305
• Binding: Paperback
• Number of pages: 240