Differential Systems And Isometric Embeddingsam 114 Volume 114

Download or read book Differential Systems and Isometric Embeddings.(AM-114), Volume 114 written by Phillip A. Griffiths and published by Princeton University Press. This book was released on 2016-03-02 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.