Conformal Geometry of Surfaces in S 4 and Quaternions
Francis E. Burstall, Dirk Ferus, Katrin Leschke, Franz Pedit, Ulrich Pinkall (auth.)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.
Категорії:
Рік:
2002
Видання:
1
Видавництво:
Springer-Verlag Berlin Heidelberg
Мова:
english
Сторінки:
96
ISBN 10:
3540430083
ISBN 13:
9783540430087
Серії:
Lecture Notes in Mathematics 1772
Файл:
DJVU, 453 KB
IPFS:
,
english, 2002
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