Abstract
In this paper we study the twistor spaces of oriented Riemannianfour-manifolds as a source of almost-Hermitian *-Einstein manifoldsand show that some results in dimension four related to the RiemannianGoldberg–Sachs theorem cannot be extended to higher dimensions.
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Davidov, J., Grantcharov, G. & Muškarov, O. Twistorial Examples of *-Einstein Manifolds. Annals of Global Analysis and Geometry 20, 103–115 (2001). https://doi.org/10.1023/A:1017378702559
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DOI: https://doi.org/10.1023/A:1017378702559