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Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems

Language EnglishEnglish
Book Paperback
Book Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems Frederic Hélein
Libristo code: 01716545
Publishers Birkhauser Verlag AG, January 2001
This book intends to give an introduction to harmonic maps between a surface and a symmetric manifol... Full description
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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.

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About the book

Full name Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems
Language English
Binding Book - Paperback
Date of issue 2001
Number of pages 122
EAN 9783764365769
ISBN 3764365765
Libristo code 01716545
Weight 520
Dimensions 170 x 244 x 8
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