Quantitative stability in the isodiametric inequality via the isoperimetric inequality
Metric Geometry
2015-03-19 v1
Abstract
The isodiametric inequality is derived from the isoperimetric inequality trough a variational principle, establishing that balls maximize the perimeter among convex sets with fixed diameter. This principle brings also quantitative improvements to the isodiametric inequality, shown to be sharp by explicit nearly optimal sets.
Keywords
Cite
@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}
}