Conformally invariant tensors of an almost Hermitian manifold associated with the holomorphic curvature tensor

Abstract

We consider an almost Hermitian manifold and apply the conformal change of metric to its holomorphic curvature tensor. In such a way we find that the generalized Bochner curvature tensor can be expressed as a linear combination of B1, B2, and B3 such that (6.4) holds. Each of the tensors B1, B2, B3 is conformally invariant and satisfies the condition (1.2) of Kahler type.