Harmonic almost Hermitian structures
Differential Geometry
2016-11-18 v4
Abstract
This is a survey of old and new results on the problem when a compatible almost complex structure on a Riemannian manifold is a harmonic section or a harmonic map from the manifold into its twistor space. In this context, a special attention is paid to the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures on the twistor space of an oriented Riemannain four-manifold.
Cite
@article{arxiv.1605.06804,
title = {Harmonic almost Hermitian structures},
author = {Johann Davidov},
journal= {arXiv preprint arXiv:1605.06804},
year = {2016}
}
Comments
To appear in the Proceedings of the INdAM workshop "New perspectives in differential geometry: special metrics and quaternionic geometry" on the occasion of the sixtieth birthday of Simon Salamon, Rome, November, 16-20, 2015