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Certain results on Kenmotsu manifolds
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In this paper, we focus on Kenmotsu manifolds. Firstly, we investigate almost quasi Ricci symmetric Kenmotsu manifolds. Then, we study Kenmotsu manifold admitting a Yamabe soliton. We find that if the soliton field of the Yamabe soliton is orthogonal to the characteristic 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, we give an example which verify our results.
Title: Certain results on Kenmotsu manifolds
Description:
In this paper, we focus on Kenmotsu manifolds.
Firstly, we investigate almost quasi Ricci symmetric Kenmotsu manifolds.
Then, we study Kenmotsu manifold admitting a Yamabe soliton.
We find that if the soliton field of the Yamabe soliton is orthogonal to the characteristic 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, we give an example which verify our results.
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