Exterior Differential Systems and Equivalence Problems by Kichoon YangExterior Differential Systems and Equivalence Problems by Kichoon Yang

Exterior Differential Systems and Equivalence Problems

byKichoon Yang

Paperback | December 3, 2010

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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.
Title:Exterior Differential Systems and Equivalence ProblemsFormat:PaperbackDimensions:207 pages, 9.25 × 6.1 × 0 inPublished:December 3, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048141184

ISBN - 13:9789048141180

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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.