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VOL. 11 | 2010 On Surfaces of Low Genus Whose Twistor Lifts are Harmonic Sections
Kazuyuki Hasegawa

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

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

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