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Exterior Differential Systems and Equivalence Problems : MATHEMATICS AND ITS APPLICATIONS (KLUWER ) - Kichoon Yang

Exterior Differential Systems and Equivalence Problems

MATHEMATICS AND ITS APPLICATIONS (KLUWER )

Hardcover Published: 31st March 1992
ISBN: 9780792315933
Number Of Pages: 196

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This monograph presents a concise account of exterior differential system theory so that it can be quickly applied to problems. The first part 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 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 C-R embedding problem is given, and embeddings of abstract projective structures are discussed. Aimed at researchers and graduate students who would like an introduction to exterior differential systems, this volume should also be useful to those whose work involves differential geometry and partial differential equations.

Series Editor's Preface
Preface
Exterior Algebrap. 1
Elementary Differential Systemsp. 20
Cartan-Kaehler Theoryp. 39
Involution and Prolongationp. 67
Quasi-Linear Pfaffian Differential Systemsp. 88
Higher Order G-structuresp. 131
Embeddings of G-structuresp. 152
Bibliographyp. 191
Indexp. 193
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792315933
ISBN-10: 0792315936
Series: MATHEMATICS AND ITS APPLICATIONS (KLUWER )
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 196
Published: 31st March 1992
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 1.91
Weight (kg): 0.52