论文标题
几乎是kenmotsu公制
Almost Kenmotsu metric as Ricci-Yamabe soliton
论文作者
论文摘要
本文的目的是表征两类几乎是肯莫茨的歧管，承认Ricci-Yamabe Soliton。结果表明，$（k，μ）'$ - 几乎是肯莫图斯（Kenmotsu）承认ricci-yamabe soliton或梯度ricci-yamabe soliton在Riemannian Product $ \ Mathbb {对于后来的情况，潜在的向量场与REEB矢量场点点呈连线。 Also, a $(k,μ)$-almost Kenmotsu manifold admitting certain Ricci-Yamabe soliton with the curvature property $Q \cdot P = 0$ is locally isometric to the hyperbolic space $\mathbb{H}^{2n+1}(-1)$ and the non-existense of the curvature property $Q \cdot R = 0$ is proved.
The object of the present paper is to characterize two classes of almost Kenmotsu manifolds admitting Ricci-Yamabe soliton. It is shown that a $(k,μ)'$-almost Kenmotsu manifold admitting a Ricci-Yamabe soliton or gradient Ricci-Yamabe soliton is locally isometric to the Riemannian product $\mathbb{H}^{n+1}(-4) \times \mathbb{R}^n$. For the later case, the potential vector field is pointwise collinear with the Reeb vector field. Also, a $(k,μ)$-almost Kenmotsu manifold admitting certain Ricci-Yamabe soliton with the curvature property $Q \cdot P = 0$ is locally isometric to the hyperbolic space $\mathbb{H}^{2n+1}(-1)$ and the non-existense of the curvature property $Q \cdot R = 0$ is proved.
