Certain results on Kenmotsu manifolds

Year 2020, Volume: 41 Issue: 2, 351 - 359, 25.06.2020

Halil İbrahim Yoldaş

https://doi.org/10.17776/csj.691141

Cited By: 1

Abstract

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.

Keywords

Kenmotsu manifold, Einstein manifold, almost quasi Ricci symmetric manifold, quasi-yamabe soliton

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