Publication details for Dr John BoltonBolton, J. & Woodward, L.M. (2000). Higher Singularities and the Twistor Fibration π CP3 → S4. Geometriae Dedicata 80(1-3): 231-246.
- Publication type: Journal Article
- ISSN/ISBN: 0046-5755, 1572-9168
- DOI: 10.1023/A:100525941
- Further publication details on publisher web site
Author(s) from Durham
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.