Abstract

The current article purports to investigate α-almost Ricci solitons in the framework of Kenmotsu manifolds. Among others, we prove that an α-almost Ricci solitons on a Kenmotsu manifold is expanding. Furthermore, we take into account α-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,R) is studied. Ultimately, we consider an example to prove the non-existence of proper α-almost Ricci solitons on Kenmotsu manifolds and verify some results.

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