Conformal Geometry of Surfaces in S4 and Quaternions

Released on by Francis E. Burstall
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  • Conformal Geometry of Surfaces in S4 and Quaternions Book Detail

  • Author : Francis E. Burstall
  • Release Date : 2004-10-19
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 98
  • ISBN 13 : 3540453016
  • File Size : 60,60 MB
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Conformal Geometry of Surfaces in S4 and Quaternions by Francis E. Burstall PDF Summary

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

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