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

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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.… Click to show full abstract

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.

Keywords: almost kenmotsu; results almost; kenmotsu manifolds

Journal Title: Quaestiones Mathematicae
Year Published: 2017

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