Differential Systems and Isometric Embeddings
1st Edition
Published on 20. June 2016
238 pages
978-1-4008-8210-6 (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.
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Phillip A. Griffiths | Gary R. Jensen
Differential Systems and Isometric Embeddings
Book
06/1987
Princeton University Press
€52.00
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Phillip A. Griffiths | Gary R. Jensen
Differential Systems and Isometric Embeddings
Book
05/1987
Princeton University Press
€74.10
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Persons
Phillip A. Griffiths & Gary R. Jensen
Content
- Frontmatter,
- Contents,
- Preface,
- Commonly used notation,
- 1. Introduction,
- 2. Structure equations of Xn ¿ EN,
- 3. Pfaffian differential systems,
- 4. Quasi-linear Pfaffian differential system,
- 5. The isometric embedding system,
- 6. The characteristic variety,
- 7. Isometric embeddings of space forms,
- 8. Embedding Cauchy-Riemann structures,
- References,
- Index,
