论文标题
几乎$η$ -RICCI和几乎$η$ -Yamabe solitons带有Torse Ordorming潜在矢量字段
Almost $η$-Ricci and almost $η$-Yamabe solitons with torse-forming potential vector field
论文作者
论文摘要
我们提供几乎$η$ -Ricci的属性和几乎$η$ -Yamabe solitons submanifolds上的属性属于ISOMETIOMETIOMETIOMETIOMENIOMETIOMITY浸入Riemannian歧管$ \ left（\ widetilde {m}，\ widetilde {g widetilde {g} $ \ wideTilde {m} $，也治疗最小或伪bumbilical hypersurface的情况。此外，就第二个基本张量球场而言，我们为单位球的可定向性超出表面提供了必要和充分的条件。
We provide properties of almost $η$-Ricci and almost $η$-Yamabe solitons on submanifolds isometrically immersed into a Riemannian manifold $\left(\widetilde{M},\widetilde{g} \right)$ whose potential vector field is the tangential component of a torse-forming vector field on $\widetilde{M}$, treating also the case of a minimal or pseudo quasi-umbilical hypersurface. Moreover, we give necessary and sufficient conditions for an orientable hypersurface of the unit sphere to be an almost $η$-Ricci or an almost $η$-Yamabe soliton in terms of the second fundamental tensor field.
