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2010 On Surfaces of Low Genus Whose Twistor Lifts are Harmonic Sections
Kazuyuki Hasegawa
J. Geom. Symmetry Phys. 17(none): 35-43 (2010). DOI: 10.7546/jgsp-17-2010-35-43

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.

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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

Information

Published: 2010
First available in Project Euclid: 24 May 2017

zbMATH: 1198.53048
MathSciNet: MR2642064
Digital Object Identifier: 10.7546/jgsp-17-2010-35-43

Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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