Harmonic Maps, Loop Groups, and Integrable Systems

Martin A. Guest

ISBN 10: 0521580854 / ISBN 13: 9780521580854

Published by Cambridge University Press, GB, 1997

About this Item

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.

Seller Inventory # LU-9780521580854

Bibliographic Details

• Title: Harmonic Maps, Loop Groups, and Integrable Systems
• Publisher: Cambridge University Press, GB
• Publication Date: 1997
• Language: English
• ISBN 10: 0521580854
• ISBN 13: 9780521580854
• Binding: Hardback
• Condition: New
• Weight: 465 grams

About this title

Synopsis

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.

Book Description

This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. It 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.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 book leads up to topics of current research.