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Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems by Frederic Helein
Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems by Frederic Helein
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Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems

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Description

This book intends to give an introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integrable systems. The presentation is accessible to undergraduate and graduate students in mathematics but will also be useful to researchers. It is among the first textbooks about integrable systems, their interplay with harmonic maps and the use of loop groups, and it presents the theory, for the first time, from the point of view of a differential geometer. The most important results are exposed with complete proofs (except for the last two chapters, which require a minimal knowledge from the reader). Some proofs have been completely rewritten with the objective, in particular, to clarify the relation between finite mean curvature tori, Wente tori and the loop group approach - an aspect largely neglected in the literature. The book helps the reader to access the ideas of the theory and to acquire a unified perspective of the subject.
Release date Australia
June 1st, 2001
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Contributor
  • Notes by R. Moser
Illustrations
122 p.
Pages
122
Dimensions
170x244x6
ISBN-13
9783764365769
Product ID
2041904

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