Publisher description for Conformal geometry of surfaces in S and quaternions / F.E. Burstall ... [et al.].


Bibliographic record and links to related information available from the Library of Congress catalog


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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 B├Ącklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.


Library of Congress subject headings for this publication:
Conformal mapping.
Quaternions.