Exterior Differential Systems and Equivalence Problems

By:

Kichoon Yang

Format:

Paperback / softback

Series:

Mathematics and its Applications

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Description

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.

Release date Australia

December 3rd, 2010

Author

Kichoon Yang

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 1st ed. 1992

Illustrations

XI, 196 p.

Pages

196

Series

Mathematics and its Applications

Dimensions

155x235x11

ISBN-13

9789048141180

Product ID

8962987

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