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 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 -Einstein or the potential vector field is collinear to the Reeb vector field or is an infinitesimal contact transformation.