Conformal Geometry of Surfaces in S4 and Quaternions (Lecture Notes in Mathematics)

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

ISBN 10: 3540430083 / ISBN 13: 9783540430087

Edité par Springer Berlin Heidelberg 2008-10-10, 2008

A propos de cet article

N° de réf. du vendeur 6666-IUK-9783540430087

Détails bibliographiques

• Titre: Conformal Geometry of Surfaces in S4 and Quaternions (Lecture Notes in Mathematics)
• Éditeur: Springer Berlin Heidelberg 2008-10-10
• Date de parution: 2008
• Langue: anglais
• ISBN à 10 chiffres: 3540430083
• ISBN à 13 chiffres: 9783540430087
• Reliure: Paperback
• État de l'article: New

A propos de ce titre

Synopsis

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.