论文标题
双曲线空间中高空曲面的相对熵
Relative Entropy of Hypersurfaces in Hyperbolic Space
论文作者
论文摘要
我们研究双曲线空间中某些超曲面的相对熵的概念。我们将此数量与Graham-Witten [RW99]引入的重新归一化区域联系起来。我们还获得了用于应用于双曲线空间中平均曲率流的相对熵的单调性公式。
We study a notion of relative entropy for certain hypersurfaces in hyperbolic space. We relate this quantity to the renormalized area introduced by Graham-Witten[RW99]. We also obtain a monotonicity formula for relative entropy applied to mean curvature flows in hyperbolic space.
