$\eta$- Ricci Solitons on Kenmotsu manifold with Generalized Symmetric Metric Connection

The objective of the present paper is to study the $\eta$-Ricci solitons on Kenmotsu manifold with generalized symmetric metric connection of type $(\alpha ,\beta )$. There are discussed Ricci and $\eta$-Ricci solitons with generalized symmetric metric connection of type $(\alpha ,\beta )$ satisfying the conditions $\bar{R}\mathrm{.}\bar{S}=0$, $\bar{S}\mathrm{.}\bar{R}=0$, $\overline{W_2}\mathrm{.}\bar{S}=0$ and $\bar{S}\mathrm{.}\overline{W_2}=0.$. Finally, we construct an example of Kenmotsu manifold with generalized symmetric metric connection of type $(\alpha ,\beta )$ admitting $\eta$-Ricci solitons.