Exterior Differential Systems and Equivalence Problems / Edition 1

Exterior Differential Systems and Equivalence Problems / Edition 1

by Kichoon Yang, Yang Kichoon Yang
     
 

ISBN-10: 0792315936

ISBN-13: 9780792315933

Pub. Date: 03/31/1992

Publisher: Springer Netherlands

This monograph presents a concise yet elementary account of exterior differential system theory so that it can be quickly applied to problems. The first part of the monograph, Chapters 1-5, deals with the general theory: the Cartan-Kaehler theorem is proved, the notions of involution and prolongation are carefully laid out, quasi-linear differential systems are

Overview

This monograph presents a concise yet elementary account of exterior differential system theory so that it can be quickly applied to problems. The first part of the monograph, Chapters 1-5, deals with the general theory: the Cartan-Kaehler theorem is proved, the notions of involution and prolongation are carefully laid out, quasi-linear differential systems are examined in detail, and explicit examples of the Spencer cohomology groups and the characteristic variety are given. The second part of the monograph, Chapters 6 and 7, deals with applications to problems in differential geometry: the isometric embedding theorem of Cartan-Janet and its various geometric ramifications are discussed, a proof of the Andreotti-Hill theorem on the O-R embedding problem is given, and embeddings of abstract projective structures are discussed.
For researchers and graduate students who would like a good introduction to exterior differential systems. This volume will also be particularly useful to those whose work involves differential geometry and partial differential equations.

Product Details

ISBN-13:
9780792315933
Publisher:
Springer Netherlands
Publication date:
03/31/1992
Series:
Mathematics and Its Applications (closed) Series, #73
Edition description:
1992
Pages:
196
Product dimensions:
0.56(w) x 6.14(h) x 9.21(d)

Related Subjects

Table of Contents

Series Editor's Preface. 1. Exterior Algebra. II. Elementary Differential Systems. III. Cartan-Kaehler Theory. IV. Involution and Prolongation. V. Quasi-Linear Pfaffin Differential Systsems. VI. Higher Order G-Structures. VII. Embeddings of G-Structures. Bibliography. Index.

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