Anisotropic perimeter and isoperimetric quotient of inner parallel bodies
Metric Geometry
2021-01-12 v1 Functional Analysis
Abstract
The aim of this note is twofold: to give a short proof of the results in [S. Larson, A bound for the perimeter of inner parallel bodies, J. Funct. Anal. 271 (2016), 610-619] and [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]; and to generalize them to the anisotropic case.
Keywords
Cite
@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}
}
Comments
5 pages