论文标题
梯度爱因斯坦型结构浸入了Riemannian扭曲的产品中
Gradient Einstein-Type Structures immersed into a Riemannian Warped Product
论文作者
论文摘要
在本文中，我们研究了浸入Riemannian扭曲产品歧管的梯度爱因斯坦型结构。我们为潜在功能和平滑地图$ u $获得一些微不足道的结果。我们调查了梯度爱因斯坦型结构的条件是最小的，完全脐带或完全浸入扭曲的产品$ i \ times_f m^n $中的条件。此外，我们将旋转hyperacterface表征为$ \ mathbb {r} \ times_f \ mathbb {r}^n $具有梯度爱因斯坦型结构。
In this paper, we study gradient Einstein-type structure immersed into a Riemannian warped product manifold. We obtain some triviality results for the potential function and smooth map $u$. We investigate conditions for a gradient Einstein-type structure to be minimal, totally umbilical, or totally geodesic immersed into a warped product $I\times_f M^n$. Furthermore, we characterize rotational hypersurface into $\mathbb{R}\times_f\mathbb{R}^n$ has a gradient Einstein-type structure.
