论文标题
紧凑的爱因斯坦型歧管的一些特征
Some characterizations of compact Einstein-type manifolds
论文作者
论文摘要
在这项工作中，我们研究了具有非空边界的紧凑型爱因斯坦型歧管的几何形状和拓扑结构。首先，我们证明了一个尖锐的边界估计，因此我们在某些假设下获得的鹰质量在面积方面与波纹管有限。然后，我们为其边界提供拓扑分类。最后，我们证明了与边界紧凑的爱因斯坦型歧管的差距结果。
In this work, we investigate the geometry and topology of compact Einstein-type manifolds with nonempty boundary. First, we prove a sharp boundary estimate, as consequence we obtain under certain hypotheses that the Hawking mass is bounded from bellow in terms of area. Then we give a topological classification for its boundary. Finally, we prove a gap result for a compact Einstein-type manifold with boundary.
