Geometry of almost contact metrics as almost *-Ricci solitons

In the present paper, we give some characterizations by considering ∗-Ricci soliton as a Kenmotsu metric. We prove that if a Kenmotsu manifold represents an almost ∗-Ricci soliton with the potential vector field V is a Jacobi along the Reeb vector field, then it is a steady ∗-Ricci soliton. Next, we show that a Kenmotsu matric endowed an almost ∗-Ricci soliton is Einstein metric if it is η-Einstein or the potential vector field V is collinear to the Reeb vector field or V is an infinitesimal contact transformation.

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