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Durham University

Department of Mathematical Sciences

Staff

Publication details for Dr John Bolton

Bolton, J. & Woodward, L.M. (2000). Higher Singularities and the Twistor Fibration π CP3 → S4. Geometriae Dedicata 80(1-3): 231-246.

Author(s) from Durham

Abstract

We use the Klein correspondences to write down an explicit relationship between two holomorphic curves, namely the directrix curve and the twistor lift, associated to a superminimal map from a Riemann surface to the 4-sphere. We also explain how the singularities of the corresponding osculating curves are related and show that they occur at the branch points or the umbilics of the corresponding superminimal map.