Harmonic Maps, Loop Groups, and Integrable Systems
Book Details
Format
Hardback or Cased Book
Book Series
London Mathematical Society Student Texts
ISBN-10
0521580854
ISBN-13
9780521580854
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 13th, 1997
Print length
212 Pages
Weight
465 grams
Dimensions
23.50 x 15.80 x 2.00 cms
Product Classification:
Differential calculus & equationsDifferential calculus and equationsAnalytic topology
Ksh 20,900.00
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This book is an introduction to an important area of mathematics and mathematical physics. It is accessible to university students, but leads to topics of current research in the theory of harmonic maps. It is the first book on this subject at this level.
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.
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