Almost Kenmotsu 3-h-manifolds with cyclic-parallel Ricci tensor

In this paper, we prove that the Ricci tensor of an almost Kenmotsu 3-h-manifold is cyclic-parallel if and only if it is parallel and hence, the manifold is locally isometric to either the hyperbolic space H³(−1) or the Riemannian product H²(−4) × R.