Geometry of (κ,μ)'-almost Kenmotsu manifolds with divergence free Cotton tensor and vanishing Bach tensor

In this paper, we prove that a non-Kenmotsu (κ,μ)'-almost Kenmotsu manifold of dimension $(2n+1)$ has divergence free Cotton tensor if and only if it is locally isometric to the Riemannian product Hⁿ⁺¹(-4)ⁿ. Finally, we show that a Bach flat non-Kenmotsu (κ,μ)'-almost Kenmotsu manifold is 3-dimensional and is locally isometric to the Riemannian product H²(-4).