Geometry of Indefinite Kenmotsu Manifolds as * η -Ricci-Yamabe Solitons.

In this paper, we study the properties of ϵ -Kenmotsu manifolds if its metrics are * η -Ricci-Yamabe solitons. It is proven that an ϵ -Kenmotsu manifold endowed with a * η -Ricci-Yamabe soliton is η -Einstein. The necessary conditions for an ϵ -Kenmotsu manifold, whose metric is a * η -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 * η -Ricci-Yamabe solitons. [ABSTRACT FROM AUTHOR]