Pseudo-harmonic Hermitian structures on Weyl manifolds

Kamran Shakoor; Johann Davidov

doi:10.1016/j.geomphys.2022.104535

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arXiv · 2210.17197

Pseudo-harmonic Hermitian structures on Weyl manifolds

Kamran Shakoor·Johann Davidov

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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.

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BibTeX RIS

Kamran Shakoor, Johann Davidov. 2022-10-31. Pseudo-harmonic Hermitian structures on Weyl manifolds. https://doi.org/10.1016/j.geomphys.2022.104535

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