论文标题
在双曲线空间中的冷微米熵
Colding Minicozzi Entropy in Hyperbolic Space
论文作者
论文摘要
本说明介绍了类似于欧几里得空间亚元素引入的双曲线空间的熵概念。对于此数量,证明了几种属性,包括沿平均曲率流的单调性,在低维和与保形体积的联系中。
This note introduces a notion of entropy for submanifolds of hyperbolic space analogous to the one introduced by Colding and Minicozzi for submanifolds of Euclidean space. Several properties are proved for this quantity including monotonicity along mean curvature flow in low dimensions and a connection with the conformal volume.