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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

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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
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Authors: N.J. Hitchin
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Oxford University Press, USA

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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

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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
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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
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Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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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 integra