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

摘要

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 B 1, B 2, and B 3 such that (6.4) holds. Each of the tensors B 1, B 2, B 3 is conformally invariant and satisfies the condition (1.2) of Kähler type.