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arXiv · 1611.06496

Harmonicity of the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures

Johann Davidov·Oleg Mushkarov
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Abstract

In this paper we describe the oriented Riemannian four-manifolds $M$ for which the Atiyah-Hitchin-Singer or Eells-Salamon almost complex structure on the twistor space ${\mathcal Z}$ of $M$ determines a harmonic map from ${\mathcal Z}$ into its twistor space.

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Johann Davidov, Oleg Mushkarov. 2016-11-20. Harmonicity of the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures. https://arxiv.org/abs/1611.06496

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