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
Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
Language: en
Pages: 418
Authors: Yuan-Jen Chiang
Categories: Mathematics
Type: BOOK - Published: 2013-06-18 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces
Integrable Systems, Geometry, and Topology
Language: en
Pages: 270
Authors: Chuu-lian Terng
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The articles in this volume are based on lectures from a program on integrable systems and differential geometry held at Taiwan's National Center for Theoretica
Encyclopedia of Nonlinear Science
Language: en
Pages: 1107
Authors: Alwyn Scott
Categories: Reference
Type: BOOK - Published: 2006-05-17 - Publisher: Routledge

DOWNLOAD EBOOK

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applicatio
From Quantum Cohomology to Integrable Systems
Language: en
Pages: 336
Authors: Martin A. Guest
Categories: Mathematics
Type: BOOK - Published: 2008-03-13 - Publisher: OUP Oxford

DOWNLOAD EBOOK

Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems. This t