| Conformal Geometry of Surfaces in S4 and Quaternions 2002 Edition Contributor(s): Burstall, Francis E. (Author), Ferus, Dirk (Author), Leschke, Katrin (Author) |
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ISBN: 3540430083 ISBN-13: 9783540430087 Publisher: Springer OUR PRICE: $47.45 Product Type: Paperback - Other Formats Published: January 2002 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential |
| Dewey: 516.36 |
| LCCN: 2003537835 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.3" H x 6" W x 8.9" (0.35 lbs) 96 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |