Abstract
We determine surfaces of genus zero in four-dimensional hyper-Kähler manifolds whose twistor lifts are harmonic sections. As corollary, we prove that a surface of genus zero in four-dimensional Euclidean space is twistor holomorphic if its twistor lift is harmonic section.
Information
Published: 1 January 2010
First available in Project Euclid: 13 July 2015
zbMATH: 1198.53048
MathSciNet: MR2757928
Digital Object Identifier: 10.7546/giq-11-2010-126-133
Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
