基于等周不等式的等径不等式定量稳定性
度量几何
2015-03-19 v1
摘要
等径不等式通过变分原理由等周不等式推导得出，确立了球体在具有固定直径的凸集中周长最大。该原理也为等径不等式带来了定量改进，并通过显式的近优集证明了其最优性。
引用
@article{arxiv.1104.4074,
title = {Quantitative stability in the isodiametric inequality via the isoperimetric inequality},
author = {Francesco Maggi and Marcello Ponsiglione and Aldo Pratelli},
journal= {arXiv preprint arXiv:1104.4074},
year = {2015}
}