Proceedings of the International Conference on Geometry, Integrability and Quantization

On Surfaces of Low Genus Whose Twistor Lifts are Harmonic Sections

Kazuyuki Hasegawa

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.

Article information

Source
Proceedings of the Eleventh International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2010), 126-133

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436794526

Digital Object Identifier
doi:10.7546/giq-11-2010-126-133

Mathematical Reviews number (MathSciNet)
MR2757928

Zentralblatt MATH identifier
1198.53048

Citation

Hasegawa, Kazuyuki. On Surfaces of Low Genus Whose Twistor Lifts are Harmonic Sections. Proceedings of the Eleventh International Conference on Geometry, Integrability and Quantization, 126--133, Avangard Prima, Sofia, Bulgaria, 2010. doi:10.7546/giq-11-2010-126-133. https://projecteuclid.org/euclid.pgiq/1436794526


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