Code: 01563984

Conformal Geometry of Surfaces in S4 and Quaternions

Name: Conformal Geometry of Surfaces in S4 and Quaternions
Brand: Springer, Berlin
SKU: 01563984
Price: 64.52 EUR
Availability: InStock

by Francis E. Burstall, Dirk Ferus, Katrin Leschke, Franz Pedit

Language: English
Binding: Paperback
Number of pages: 96
Publisher: Springer, Berlin, 2002
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Book synopsis

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.