Conformal Geometry of Surfaces in S4 and Quaternions(English, Paperback, Burstall Francis E.)

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Conformal Geometry of Surfaces in S4 and Quaternions(English, Paperback, Burstall Francis E.) is written by Burstall Francis E. and published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG. It's available with International Standard Book Number or ISBN identification 3540430083 (ISBN 10) and 9783540430087 (ISBN 13).

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 Baecklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.