Lecture Notes in Mathematics

Burstall, Francis E.; Ferus, Dirk; Leschke, Katrin; Pedit, Franz; Pinkall, Ulrich

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.

Details

Published by: Springer

Publication Date: 2002-01-01

Format: Paperback

ISBN-13: 9783540430087

DOI: 10.1007/b82935

Dimensions: 233cm x155cm

Pages: 96