ENGLISH

Conformal Geometry of Surfaces in Quaternions

By Francis E. Burstall , Dirk Ferus , Katrin Leschke , Franz Pedit , Ulrich Pinkall

Book information

Publisher
Springer
Year
2002
ISBN
3540430083, 9783540430087
LCC
QA3 .L28 no. 1772
Open Library ID
OL18170193M
Language
english
Format
PDF
Filesize
4 MB (3748777 bytes)
Edition
1
Pages
95\95
Library
mexmat
Scanned
yes
Time added
2009-07-20 03:45:11

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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