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Harmonic Maps, Loop Groups, and Integrable Systems

Harmonic Maps, Loop Groups, and Integrable Systems

Hardcover

Series: London Mathematical Society Student Texts, Book 38

General MathematicsGeometry

ISBN10: 0521580854
ISBN13: 9780521580854
Publisher: Cambridge University Press
Published: Jan 13 1997
Pages: 212
Weight: 1.06
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English
This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable Hamiltonian systems. The text demonstrates 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 as well.

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