Harmonic Maps, Loop Groups, and Integrable Systems
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Harmonic Maps, Loop Groups, and Integrable Systems by Martin A. Guest
Book DescriptionHarmonic 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 DetailsISBN: 9780521589321
(228mm x 152mm x 12mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Jan-1997
Country of Publication: United Kingdom
Books By Author Martin A. Guest
From Quantum Cohomology to Integrable Systems, Hardback (March 2008)
This text focuses on the extraordinary success of quantum cohomology and its connections with many existing areas of traditional mathematics and new areas such as mirror symmetry. Aimed at graduate students in mathematics as well as theoretical physicists, the text assumes basic familiarity with differential equations and cohomology.
Harmonic Maps, Loop Groups, and Integrable Systems, Hardback (January 1997)» View all books by Martin A. Guest
University-level introduction that leads to topics of current research in the theory of harmonic maps.
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