Certain results on Kenmotsu manifolds

Abstract

In this paper, we focus on Kenmotsu manifolds. Firstly, we investigate almost quasi Riccisymmetric Kenmotsu manifolds. Then, we study Kenmotsu manifold admitting a Yamabesoliton. We find that if the soliton field V of the Yamabe soliton is orthogonal to thecharacteristic vector field  , then it is Killing and the manifold has constant scalar curvature.Also, we deal with a Kenmotsu manifold which admits a quasi-Yamabe soliton. Finally, wegive an example which verify our results.