Differential Systems and Isometric Embeddings
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A01=Gary R. Jensen
A01=Phillip A. Griffiths
American Mathematical Society
Author_Gary R. Jensen
Author_Phillip A. Griffiths
Category=PBKJ
Combination
Descriptive geometry
Embedding
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Geometry
Integer
Mathematics
Mechanical engineering
Subgroup
Theorem
Theory
Product details
- ISBN 9780691084305
- Weight: 340g
- Dimensions: 152 x 229mm
- Publication Date: 21 May 1987
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
