The aim of this paper is to introduce the notion of pre-generalized c*-homeomorphisms in topological spaces and study their basic properties
A Ricci soliton is a generalization of an Einstein metric. Theoretical physicists have also been looking into the equation of Ricci soliton in relation with string theory. In the present paper we characterize Kenmotsu manifolds admitting a special type of Ricci soliton, called *-Ricci soliton. The main Theorem of the paper states that if a Kenmotsu manifold M admit *-Ricci soliton then, M is either D-Homothetic to an Einstein manifold or the soliton vector field leaves invariant.