A classification of ( k , μ ) ′ -almost Kenmotsu manifolds admitting Cotton tensor

Abstract

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