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Conformal Geometry of Surfaces in S4 and Quaternions (Paperback, 2002 ed.): Francis E Burstall, Dirk Ferus, Katrin Leschke,... Conformal Geometry of Surfaces in S4 and Quaternions (Paperback, 2002 ed.)
Francis E Burstall, Dirk Ferus, Katrin Leschke, Franz Pedit, Ulrich Pinkall
R1,294 Discovery Miles 12 940
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The conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of surfaces on the basis of a quaternionic-valued function theory. The book offers an elementary introduction to the subject but takes the reader to rather advanced topics. Willmore surfaces in the foursphere, their Bäcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.

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