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
Harmonic Maps, Loop Groups, and Integrable Systems
โ Scribed by Martin A. Guest
- Publisher
- Cambridge University Press
- Year
- 1997
- Tongue
- English
- Leaves
- 207
- Series
- London Mathematical Society Student Texts, 38
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
University-level introduction that leads to topics of current research in the theory of harmonic maps.
๐ SIMILAR VOLUMES
Explains the ideas involved in applying the theory of integrable systems to finding harmonic maps and related geometric objects. Harmonic maps, which are maps between Riemannian or pseudo- Riemannian manifolds that extremize a natural energy integral, are applied in the theory of minimal an constant
This book is based on lectures given by the authors at an instructional conference on integrable systems held at the Mathematical Institute in Oxford in September 1997. Most of the participants were graduate students from the United Kingdom and other European countries. The lectures emphasized geome