非负 Ricci 曲率度量测度空间中的一个尖锐等周不等式
度量几何
2021-11-05 v1 微分几何
泛函分析
摘要
我们在具有非负综合 Ricci 曲率的非紧度量测度空间中证明了一个涉及体积熵的尖锐的无维数等周不等式。
引用
@article{arxiv.2111.02944,
title = {A sharp isoperimetric inequality in metric measure spaces with non-negative Ricci curvature},
author = {Bang-Xian Han},
journal= {arXiv preprint arXiv:2111.02944},
year = {2021}
}
备注
This is a short note containing the proof to a new sharp dimension-free isoperimetric inequality. The rigidity will be proved in the next paper