On curvature tensors of Hermitian manifolds
On curvature tensors of Hermitian manifolds
In this article, we examine the behavior of the Riemannian and Hermitian curvature tensors of a Hermitian metric, when one of the curvature tensors obeys all the symmetry conditions of the curvature tensor of a K\"ahler metric. We will call such metrics G-K\"ahler-like or K\"ahler-like, for lack of better terminologies. …