α-almost Ricci solitons on Kenmotsu manifolds

Abstract

The current article purports to investigate $\alpha$-almost Ricci solitons in the framework of Kenmotsu manifolds. Among others, we prove that an $\alpha$-almost Ricci solitons on a Kenmotsu manifold is expanding. Furthermore, we take into account $\alpha$-almost Ricci solitons on Kenmotsu manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor. Also, Kenmotsu manifolds satisfying the curvature condition $R.R=Q(S\mathrm{,}R)$ is studied. Ultimately, we consider an example to prove the non-existence of proper $\alpha$-almost Ricci solitons on Kenmotsu manifolds and verify some results.