论文标题
$η$ -Ricci-yamabe soliton在Riemannian淹没Riemannian歧管上
$η$-Ricci-Yamabe Soliton on Riemannian Submersions from Riemannian manifolds
论文作者
论文摘要
In this research article, we establish the geometrical bearing on Riemannian submersions in terms of $η$-Ricci-Yamabe Soliton with the potential field and giving the classification of any fiber of Riemannian submersion is an $η$-Ricci-Yamabe soliton, $η$-Ricci soliton and $η$-Yamabe soliton.我们还讨论了Riemannian浸没的目标歧管是$η$ -Ricci-yamabe Soliton，$η$ -Ricricci Soliton，$η$ -Yamabe Soliton和Quasi-Yamabe Soliton。在特定情况下，当潜力提交$η$ -RRICCI-yamabe soliton的$ v $是梯度类型时，我们得出了一个laplacian方程，并提供了一些$η$ -Ricrci-yamabe soliton的示例。最后，我们研究了$η$ -Ricci-yamabe Soliton在Riemannian淹没上的谐波方面，并提到Ricci-Yamabe Solitons的几何和物理效应。
In this research article, we establish the geometrical bearing on Riemannian submersions in terms of $η$-Ricci-Yamabe Soliton with the potential field and giving the classification of any fiber of Riemannian submersion is an $η$-Ricci-Yamabe soliton, $η$-Ricci soliton and $η$-Yamabe soliton. We also discuss the various conditions for which the target manifold of Riemannian submersion is an $η$-Ricci-Yamabe soliton, $η$-Ricci soliton, $η$-Yamabe soliton and quasi-Yamabe soliton. In a particular case when the potential filed $V$ of the $η$-Ricci-Yamabe soliton is of gradient type, we derive a Laplacian equation and providing some examples of an $η$-Ricci-Yamabe soliton on a Riemannian submersion. Finally, we study harmonic aspect of $η$-Ricci-Yamabe soliton on Riemannian submersions and mention geometrical and physical effects of Ricci-Yamabe solitons.
