Conformal Geometry of Surfaces in S4 and Quaternions

Name: Conformal Geometry of Surfaces in S4 and Quaternions
Brand: Springer Nature
SKU: 9783540453017
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Product Details

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Springer Nature

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9783540453017

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New

Product 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 Bcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.

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