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- W3014612377 abstract "The object of the present paper is to study $beta$-almost Yamabe solitons and $beta$-almost Ricci solitons on almost co-Kahler manifolds. In this paper, we prove that if an almost co-Kahler manifold $M$ with the Reeb vector field $xi$ admits a $beta$-almost Yamabe solitons with the potential vector field $xi$ or $bxi$, where $b$ is a smooth function then manifold is $K$-almost co-Kahler manifold or the soliton is trivial, respectively. Also, we show if a closed $(kappa,mu)$-almost co-Kahler manifold with $n>1$ and $kappa<0$ admits a $beta$-almost Yamabe soliton then the soliton is trivial and expanding. Then we study an almost co-Kahler manifold admits a $beta$-almost Yamabe soliton or $beta$-almost Ricci soliton with $V$ as the potential vector field, $V$ is a special geometric vector field." @default.
- W3014612377 created "2020-04-10" @default.
- W3014612377 creator A5069071723 @default.
- W3014612377 date "2020-03-20" @default.
- W3014612377 modified "2023-09-27" @default.
- W3014612377 title "$beta$-almost solitons on almost co-k{a}hler manifolds" @default.
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