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Description - Harmonic Maps, Loop Groups, and Integrable Systems by Martin A. Guest

Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists.

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Book Details

ISBN: 9780521580854
ISBN-10: 0521580854
Format: Hardback
(228mm x 152mm x 16mm)
Pages: 212
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Jan-1997
Country of Publication: United Kingdom

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