Harmonic Maps, Loop Groups, and Integrable Systems

Harmonic Maps, Loop Groups, and Integrable Systems
Author :
Publisher : Cambridge University Press
Total Pages : 202
Release :
ISBN-10 : 0521589320
ISBN-13 : 9780521589321
Rating : 4/5 (321 Downloads)

Book Synopsis Harmonic Maps, Loop Groups, and Integrable Systems by : Martin A. Guest

Download or read book Harmonic Maps, Loop Groups, and Integrable Systems written by Martin A. Guest and published by Cambridge University Press. This book was released on 1997-01-13 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Harmonic Maps, Loop Groups, and Integrable Systems Related Books

Harmonic Maps, Loop Groups, and Integrable Systems
Language: en
Pages: 202
Authors: Martin A. Guest
Categories: Mathematics
Type: BOOK - Published: 1997-01-13 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of wid
Integrable Systems
Language: en
Pages: 148
Authors: N.J. Hitchin
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Oxford University Press, USA

DOWNLOAD EBOOK

Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origin
Darboux Transformations in Integrable Systems
Language: en
Pages: 317
Authors: Chaohao Gu
Categories: Science
Type: BOOK - Published: 2006-07-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called
Selected Papers on Harmonic Analysis, Groups, and Invariants
Language: en
Pages: 160
Authors: Katsumi Nomizu
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that journal, but are publishe
Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems
Language: en
Pages: 123
Authors: Frederic Hélein
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

DOWNLOAD EBOOK

This book intends to give an introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integra