各向异性周长与内平行体的等周商
度量几何
2021-01-12 v1 泛函分析
摘要
本注记的目的有二:给出[S. Larson, A bound for the perimeter of inner parallel bodies, J. Funct. Anal. 271 (2016), 610-619]与[G. Domokos and Z. L\'angi, The isoperimetric quotient of a convex body decreases monotonically under the eikonal abrasion model, Mathematika 65 (2019), 119-129]中结果的简短证明;并将其推广至各向异性情形。
引用
@article{arxiv.2101.03307,
title = {Anisotropic perimeter and isoperimetric quotient of inner parallel bodies},
author = {Graziano Crasta},
journal= {arXiv preprint arXiv:2101.03307},
year = {2021}
}
备注
5 pages