A strong form of the Quantitative Isoperimetric inequality
Metric Geometry
2014-11-10 v1
Abstract
We give a refinement of the quantitative isoperimetric inequality. We prove that the isoperimetric gap controls not only the Fraenkel asymmetry but also the oscillation of the boundary.
Keywords
Cite
@article{arxiv.1111.4866,
title = {A strong form of the Quantitative Isoperimetric inequality},
author = {Nicola Fusco and Vesa Julin},
journal= {arXiv preprint arXiv:1111.4866},
year = {2014}
}