Almost Ricci-Yamabe Solitons in f-Kenmotsu Manifolds

Abstract

The purpose of this paper is to charecterize f -Kenmotsu manifolds admitting almost Ricci-Yamabe soliton and gradient Ricci-Yamabe soliton. We deduce the ncessary condition for the potential function u is constant. Further, a relation between λ and the potential function u has been established. Finally, a sufficient condition is proved for a Ricci-Yamabe soliton to be a gradient Ricci-Yamabe soliton and a characterization of the soliton in terms of shrinking, steady or expanding has been done.