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Bog, hæftet Conformal Geometry of Surfaces in S4 and Quaternions af Francis E. Burstall, Katrin Leschke, Dirk Ferus

Conformal Geometry of Surfaces in S4 and Quaternions

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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 r... Læs mere

The conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of su... Læs mere

Produktdetaljer:

Sprog:
Engelsk
ISBN-13:
9783540430087
Sideantal:
104
Udgivet:
01-01-2002
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01-02-2018
 
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Forlagets beskrivelse
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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