Differential Systems and Isometric Embeddings.(AM-114), Volume 114 (Annals of Mathematics Studies, 114) – Phillip A. Griffiths Koopje

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 expla…