Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. Harmonic Maps, Loop Groups, and Integrable Systems
  • Cited by 77
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
1997
Online ISBN:
9781139174848
DOI:
https://doi.org/10.1017/CBO9781139174848
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
London Mathematical Society Student Texts (38)
Information

Book description

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.

Reviews

‘… an accessible introduction to some of the fundamental connections beween differental geometry, Lie groups and integrable Hamiltonian systems.’

Source: L’Enseignement Mathématique

‘It is very rare to find a book that can take a student from the very basics of a subject to the frontiers of active research. The author is to be congratulated on having produced just such a rarity!’

Source: Bulletin of the London Mathematics Society

‘The book will certainly be appreciated by mathematicians as well as theoretical physics interested in the subject.’

Source: European Mathematical Society

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Page 1 of 2

Contents

Page 1 of 2

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.