Some results on (k, μ)′-almost Kenmotsu manifolds

Abstract

In this paper, we study the Weyl conformal curvature tensor ???? and the concircular curvature tensor ???? on a (k, μ)′-almost Kenmotsu manifold M²ⁿ⁺¹ of dimension greater than 3. We obtain that if M²ⁿ⁺¹ satisfies either R · ???? = 0 or ???? · ???? = 0, then it is locally isometric to either the hyperbolic space ℍ²ⁿ⁺¹ (−1) or the Riemannian product ℍⁿ⁺¹(−4) × ℝⁿ.