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.
Kenmotsu manifold Einstein manifold almost quasi Ricci symmetric manifold quasi-yamabe soliton
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Natural Sciences |
Authors | |
Publication Date | June 25, 2020 |
Submission Date | February 19, 2020 |
Acceptance Date | June 12, 2020 |
Published in Issue | Year 2020Volume: 41 Issue: 2 |