A classification of $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensor

Abstract

The object of the present paper is to classify $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensors. We characterize $(k,\mu)'$-almost Kenmotsu manifolds with vanishing and parallel Cotton tensors. Beside this, $(k,\mu)'$-almost Kenmotsu manifolds satisfying Cotton semisymmetry and $Q(g,C) = 0$ are studied. Further, Cotton pseudo-symmetric $(k,\mu)'$-almost Kenmotsu manifolds are classified.

Keywords

• Almost Kenmotsu manifolds
• $\xi$-Cotton flat
• Cotton flat
• Cotton parallel
• Cotton semisymmetry
• Cotton pseudo-symmetry

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