The Gray-Hervella classes are determined for the natural almost Hermitian structures on the product twistor space of 4-dimensional Riemannian manifolds.
Mushkarov,Almost Hermitian structures on twistor spaces and their type, Atti Sem.Mat.Fis.Univ.Modena37(1989), 285-297
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Gray-Hervella classes on product twistor spaces
The Gray-Hervella classes are determined for the natural almost Hermitian structures on the product twistor space of 4-dimensional Riemannian manifolds.