Almost Kenmotsu metric as a conformal Ricci soliton

Source abstract

In the present paper, we characterize ( k , μ ) ′ (k,\mu )’ and generalized ( k , μ ) ′ (k,\mu )’ -almost Kenmotsu manifolds admitting the conformal Ricci soliton. It is also shown that a ( k , μ ) ′ (k,\mu )’ -almost Kenmotsu manifold M 2 n + 1 M^{2n+1} does not admit conformal gradient Ricci soliton ( g , V , λ ) (g,V,\lambda ) with V V collinear with the characteristic vector field ξ \xi . Finally an illustrative example is presented.