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Conformal Geometry of Surfaces in S4 and Quaternions

Conformal Geometry of Surfaces in S4 and Quaternions

Paperback

Series: Lecture Notes in Mathematics, Book 1772

Geometry

ISBN10: 3540430083
ISBN13: 9783540430087
Publisher: Springer Nature
Published: Jan 1 2002
Pages: 96
Weight: 0.35
Height: 0.30 Width: 6.00 Depth: 8.90
Language: English
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.

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Geometry