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Harmonic Maps, Loop Groups, and Integrable Systems

Name: Harmonic Maps, Loop Groups, and Integrable Systems
Brand: Cambridge University Press
SKU: 02036067
Price: 159.49 EUR
Availability: InStock
Author: Martin A. Guest
ISBN: 9780521580854

Martin A. Guest

Language

English

Book Hardback

Libristo code: 02036067

Publishers Cambridge University Press, January 1997

Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examp... Full description

Libristo code: 02036067

390 b

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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.