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Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems
Frederic Helein
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Description for Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems
paperback. This title provides and introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integrable systems. It should help the reader to access the ideas of the theory and to aquire a unified perspective of the subject. Series: Lectures in Mathematics. ETH Zurich. Num Pages: 128 pages, biography. BIC Classification: PBCD; PBM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 170 x 6. Weight in Grams: 237.
One of the most striking development of the last decades in the study of minimal surfaces, constant mean surfaces and harmonic maps is the discovery that many classical problems in differential geometry - including these examples - are actually integrable systems. This theory grew up mainly after the important discovery of the properties of the Korteweg-de Vries equation in the sixties. After C. Gardner, J. Greene, M. Kruskal et R. Miura [44] showed that this equation could be solved using the inverse scattering method and P. Lax [62] reinterpreted this method by his famous equation, many other deep observations have ... Read more
One of the most striking development of the last decades in the study of minimal surfaces, constant mean surfaces and harmonic maps is the discovery that many classical problems in differential geometry - including these examples - are actually integrable systems. This theory grew up mainly after the important discovery of the properties of the Korteweg-de Vries equation in the sixties. After C. Gardner, J. Greene, M. Kruskal et R. Miura [44] showed that this equation could be solved using the inverse scattering method and P. Lax [62] reinterpreted this method by his famous equation, many other deep observations have ... Read more
Product Details
Format
Paperback
Publication date
2001
Publisher
Birkhäuser Switzerland
Number of pages
128
Condition
New
Series
Lectures in Mathematics. ETH Zurich
Number of Pages
122
Place of Publication
Basel, Switzerland
ISBN
9783764365769
SKU
V9783764365769
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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