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Conformal Geometry of Surfaces in S4 and Quaternions

Language EnglishEnglish
Book Paperback
Book Conformal Geometry of Surfaces in S4 and Quaternions Francis E. Burstall
Libristo code: 01563984
Publishers Springer, Berlin, November 2001
The conformal geometry of surfaces recently developed by the authors leads to a unified understandin... Full description
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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.

About the book

Full name Conformal Geometry of Surfaces in S4 and Quaternions
Author Francis E. Burstall, Dirk Ferus, Katrin Leschke, Franz Pedit
Language English
Binding Book - Paperback
Date of issue 2002
Number of pages 96
EAN 9783540430087
ISBN 3540430083
Libristo code 01563984
Publishers Springer, Berlin
Weight 188
Dimensions 154 x 237 x 5

Categories

Mathematics & Science > Mathematics > Geometry > Differential & Riemannian geometry
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