论文标题
体积功能的关键指标的积分和边界估计值
Integral and boundary estimates for critical metrics of the volume functional
论文作者
论文摘要
在本文中，我们研究了体积函数在紧凑型歧管上的临界指标的几何形状。我们使用广义的Reilly公式来得出有关$ n $二维的紧凑型歧管，以获得具有边界的$ n $维型函数的关键指标的新的尖锐积分估计。作为应用，我们为此类歧管建立了新的边界估计。
In this article, we investigate the geometry of critical metrics of the volume functional on compact manifolds with boundary. We use the generalized Reilly's formula to derive new sharp integral estimates for critical metrics of the volume functional on $n$-dimensional compact manifolds with boundary. As application, we establish new boundary estimates for such manifolds.
