论文标题
紧凑的梯度爱因斯坦型歧管与边界
Compact gradient Einstein-type manifolds with boundary
论文作者
论文摘要
我们处理刚性梯度爱因斯坦型歧管的刚性结果。结果，我们以简单连接的空间形式获得了半球和大地球的新特征。在第三和第五维中，我们获得了边界和其区域上限的拓扑特征。
We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundaries. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area.
