论文标题
紧凑的准伊因斯坦歧管的几何形状具有边界
Geometry of compact quasi-Einstein manifolds with boundary
论文作者
论文摘要
在本文中，我们研究了带边界的紧凑型准网歧管的几何形状。我们建立了带有边界的紧凑型准元素歧管的尖锐边界估计，从而改善了一些先前的结果。此外，我们从边界成分的表面重力方面获得了这种歧管的表征定理，这导致了新的尖锐的几何不等式。此外，我们证明了与棕色质量（可能是断开连接的）边界的紧凑型准网歧管的边界估计值。
In this article, we study the geometry of compact quasi-Einstein manifolds with boundary. We establish sharp boundary estimates for compact quasi-Einstein manifolds with boundary that improve some previous results. Moreover, we obtain a characterization theorem for such manifolds in terms of the surface gravity of the boundary components, which leads to a new sharp geometric inequality. In addition, we prove a boundary estimate for compact quasi-Einstein manifolds with (possibly disconnected) boundary in terms of the Brown-York mass.
