Conformal Geometry of Surfaces in S4 and Quaternions

Burstall, Francis E. (EDT); Ferus, D.; Leschke, K.; Pedit, F.; Pinkall, U.; Burstall, Francis E.

ISBN 10: 3540430083 / ISBN 13: 9783540430087

Verlag: Springer, 2002

Bestandsnummer des Verkäufers 916300-n

Inhaltsangabe:

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.

Bibliografische Details

Titel: Conformal Geometry of Surfaces in S4 and ...
Verlag: Springer
Erscheinungsdatum: 2002
Einband: Softcover
Zustand: New