EN
Certain results on Kenmotsu manifolds
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
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
June 25, 2020
Submission Date
February 19, 2020
Acceptance Date
June 12, 2020
Published in Issue
Year 2020 Volume: 41 Number: 2
APA
Yoldaş, H. İ. (2020). Certain results on Kenmotsu manifolds. Cumhuriyet Science Journal, 41(2), 351-359. https://doi.org/10.17776/csj.691141
Cited By
On Kenmotsu manifolds admitting η-Ricci-Yamabe solitons
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https://doi.org/10.1142/S0219887821501899SOME SOLITONS ON PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CANONICAL PARACONTACT CONNECTION
Journal of Mathematical Sciences
https://doi.org/10.1007/s10958-024-07385-6