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

Format:

Book

Author/Creator:

Griffiths, Phillip A., author.

Jensen, Gary R., author.

Series:

William H. Roever lectures in geometry.

Annals of mathematics studies ; no. 114.

Annals of Mathematics Studies ; 336

Language:

English

Subjects (All):

Exterior differential systems.

Differential equations, Partial.

Embeddings (Mathematics).

Riemannian manifolds.

Physical Description:

1 online resource (241 pages) : portrait.

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

In English.

Summary:

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.

Contents:

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

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400882106

1400882109

OCLC:

979836506