Abstract
We determine surfaces of genus zero in four-dimensional hyperkähler 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.
Citation
Kazuyuki Hasegawa. "On Surfaces of Low Genus Whose Twistor Lifts are Harmonic Sections." J. Geom. Symmetry Phys. 17 35 - 43, 2010. https://doi.org/10.7546/jgsp-17-2010-35-43
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