ENGLISH

Conformal Geometry of Surfaces in S 4 and Quaternions

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

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2002
ISBN
3540430083, 9783540430087
DOI
10.1007/b82935
LCC
QA3 .L28 no. 1772
Open Library ID
OL18170193M
Language
english
Format
DJVU
Filesize
453 kB (463645 bytes)
Series
Lecture Notes in Mathematics 1772
Edition
1
Pages
96\92
Library
Kolxo3
DPI
400
Time added
2011-07-22 07:35:22
Differential Geometry

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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