Conformal Geometry of Surfaces in S4 and Quaternions, Paperback by Burstall, ...
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Conformal Geometry of Surfaces in S4 and Quaternions, Paperback by Burstall, .... Conformal Geometry of Surfaces in S4 and Quaternions, Paperback by Burstall, Francis E. (EDT); Ferus, D.; Leschke, K.; Pedit, F.; Pinkall, U.; Burstall, Francis E., ISBN 3540430083, ISBN-13 9783540430087, Like New Used, Free shipping in the US 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. Th 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. Conformal Geometry of Surfaces in S4 and Quaternions, Paperback by Burstall, Francis E. (EDT); Ferus, D.; Leschke, K.; Pedit, F.; Pinkall, U.; Burstall, Francis E., ISBN 3540430083, ISBN-13 9783540430087, Like New Used, Free shipping in the US 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. Th 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.
