Differential systems and isometric embeddings

Author(s)

• Griffiths, Phillip
• Jensen, Gary R.
• William H. Roever Lectures in Geometry

Bibliographic Information

Differential systems and isometric embeddings

by Phillip A. Griffiths and Gary R. Jensen

（Annals of mathematics studies, no. 114）

Princeton University Press, 1987

• : cloth
• : paper

Other Title

William H. Roever lectures in geometry

Note

William H. Roever lectures in geometry delivered in January, 1984, at Washington University in St. Louis

Bibliography: p. 213-217

Includes index

Description and Table of Contents

Volume

: cloth ISBN 9780691084299

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.

Volume

: paper ISBN 9780691084305

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.

Table of Contents

*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

by "Nielsen BookData"

Details

• NCID: BA00515580
• ISBN:
  • 0691084297
  • 0691084300
• LCCN: 86043134
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Princeton, N.J.
• Pages/Volumes: xii, 225 p.
• Size: 25 cm
• Classification:
  • LCC : QA649
  • DC19 : 515.3/53
  • NDC8 : 410.5
• Subject Headings:
  • LCSH : Exterior differential systems
  • LCSH : Differential equations, Partial
  • LCSH : Embeddings (Mathematics)
  • LCSH : Riemannian manifolds
• Parent Bibliography ID:
  • BA00300336