Bochner curvature tensor of Almost Kahler manifold

Abstract

In this paper we study the Bochner curvature tensor of almost Kahler manifold. We found
the components of Bochner tensor of almost Kahler manifold in the adjoint G-structure space by
using Kirichenko's tensors. It has been proved that an almost Kahler manifold is a manifold of
class if and only if it is Kahler.