Harmonicity of the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures
Differential Geometry
2018-03-22 v3
Abstract
In this paper we describe the oriented Riemannian four-manifolds for which the Atiyah-Hitchin-Singer or Eells-Salamon almost complex structure on the twistor space of determines a harmonic map from into its twistor space.
Cite
@article{arxiv.1611.06496,
title = {Harmonicity of the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures},
author = {Johann Davidov and Oleg Mushkarov},
journal= {arXiv preprint arXiv:1611.06496},
year = {2018}
}
Comments
minor changes; a detailed proof of a result announced in arXiv:1605.06804 is given