Pseudo-harmonic Hermitian structures on Weyl manifolds
Differential Geometry
2022-11-09 v1
Abstract
We find geometric conditions on a Hermitian-Weyl manifold under which the complex structure is a pseudo-harmonic map in the sense of G. Kokarev \cite{K09} from the manifold into its twistor space. This is done under the assumption that the dimension of the manifold is four or the Hermitian-Weyl structure is locally conformally K\"ahler.
Cite
@article{arxiv.2210.17197,
title = {Pseudo-harmonic Hermitian structures on Weyl manifolds},
author = {Kamran Shakoor and Johann Davidov},
journal= {arXiv preprint arXiv:2210.17197},
year = {2022}
}