Conformal Geometry of Surfaces in S4 and Quaternions

By Franz Pedit, Francis E. Burstall, Ulrich Pinkall, et al.

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

• Format: Paperback
• Language: English
• ISBN: 3540430083
• ISBN13: 9783540430087
• Release Date: January 2002
• Publisher: Springer
• Length: 96 Pages
• Weight: 0.35 lbs.
• Dimensions: 0.3" x 6.0" x 8.9"