Conformal Geometry of Surfaces in S4 and Quaternions
Ulrich Pinkall, Franz Pedit, Katrin Leschke, Dirk Ferus, Francis E. Burstall
E-bok
2004510 kr
Conformal Geometry of Surfaces in S4 and Quaternions
AvFrancis E. Burstall,Dirk Ferus
Häftad, Engelska, 2002
Del 1772 i serien Lecture Notes in Mathematics
391 kr
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Beskrivning
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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