关于$\textbf{Q}\phi=\textbf{Q}的三维几乎Kenmotsu流形上Yamabe孤立子的一个注记$

IF 0.4 Q4 MATHEMATICS International Electronic Journal of Geometry Pub Date : 2023-04-16 DOI:10.36890/iejg.1239222
G. Ghosh
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引用次数: 0

摘要

本文证明了一个具有$\textbf{Q}\phi=\phi\textbf{Q}$的三维几乎Kenmotsu流形,其标量曲率在chracterstic向量场$\zeta$下保持不变,如果它的度量允许一个非平凡的Yamabe孤立子,则该流形具有恒定的截面曲率或该流形是Ricci简单。
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A Note on Yamabe Solitons on 3-dimensional Almost Kenmotsu Manifolds with $\textbf{Q}\phi=\phi \textbf{Q}$
In the present paper, we prove that if the metric of a three dimensional almost Kenmotsu manifold with $\textbf{Q}\phi=\phi \textbf{Q}$ whose scalar curvature remains invariant under the chracterstic vector field $\zeta$, admits a non-trivial Yamabe solitons, then the manifold is of constant sectional curvature or the manifold is Ricci simple.
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CiteScore
0.80
自引率
14.30%
发文量
32
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