论文标题
在爱因斯坦型歧管的几何形状上
On the geometry of Einstein-type manifolds with some structural conditions
论文作者
论文摘要
在本文中，我们研究了riemannian歧管上爱因斯坦型方程的几何形状，统一了最近在文献中研究的各种特定的几何结构，例如临界点方程和真空静态方程。在几个曲率条件的假设下，我们显示了爱因斯坦型歧管的各种刚性结果。
In this paper, we investigate the geometry of Einstein-type equation on a Riemannian manifold, unifying various particular geometric structures recently studied in the literature, such as critical point equation and vacuum static equation. We show various rigidity results of Einstein-type manifolds under assumptions of several curvature conditions.
