Abstract
In this paper, we study the properties of e-Kenmotsu manifolds if its metrics are *eta-Ricci-Yamabe solitons. It is proven that an e-Kenmotsu manifold endowed with a *eta-Ricci-Yamabe soliton is eta-Einstein. The necessary conditions for an epsilon-Kenmotsu manifold, whose metric is a *eta-Ricci-Yamabe soliton, to be an Einstein manifold are derived. Finally, we model an indefinite Kenmotsu manifold example of dimension 5 to examine the existence *eta-Ricci-Yamabe solitons.