Conformal Geometry of Surfaces in S4 and Quaternions
Buch in deiner Nähe kaufen
Beschreibung
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.
Includes supplementary material: sn.pub/extras
Autor*in
Francis E. Burstall
Themen in »Conformal Geometry of Surfaces in S4 and Quaternions«
Backlund tranform Conformal surface theory Mean curvature Wilmore functional curvature darboux transforms twistor projection