Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / / Gary R. Jensen, Phillip A. Griffiths.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Griffiths, Phillip A.,; Jensen, Gary R.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1987
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 114
• Physical Description: 1 online resource (238 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400882106; 9783110494914; 9783110442496
• DOI: 10.1515/9781400882106
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Gary R. Jensen, Phillip A. Griffiths.

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.