Differential Systems and Isometric Embeddings

Phillip A. Griffiths, Gary R. Jensen (Autoren)

Buch | Softcover

238 Seiten

1987
Princeton University Press (Verlag)
978-0-691-08430-5 (ISBN)

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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.

*Frontmatter, pg. i*Contents, pg. vii*Preface, pg. ix*Commonly used notation, pg. xi*1. Introduction, pg. 1*2. Structure equations of Xn EN, pg. 14*3. Pfaffian differential systems, pg. 32*4. Quasi-linear Pfaffian differential system, pg. 58*5. The isometric embedding system, pg. 89*6. The characteristic variety, pg. 112*7. Isometric embeddings of space forms, pg. 156*8. Embedding Cauchy-Riemann structures, pg. 194*References, pg. 213*Index, pg. 219

Erscheint lt. Verlag	21.5.1987
Reihe/Serie	Annals of Mathematics Studies
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	340 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-691-08430-0 / 0691084300
ISBN-13	978-0-691-08430-5 / 9780691084305
Zustand	Neuware