Geometry - Differential, Mathematics - Topology, Mathematics - Group Theory, Mathematical Equations - Differential

Harmonic Maps, Loop Groups, and Integrable Systems

Name: Harmonic Maps, Loop Groups, and Integrable Systems
Author: Martin A. Guest
ISBN: 9780521580854

by Martin A. Guest, J. W. Bruce (Editor), C. M. Series

Available on Bookshop Write a review

Books.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.

Overview

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.