Quantitative Quermassintegral Inequalities for Nearly Spherical Sets
Differential Geometry
2022-01-13 v1
Abstract
In this paper, we establish quantitative Alexandrov-Fenchel inequalities for quermassintegrals on nearly spherical sets. In particular, we bound the -isoperimetric deficit from below by the Frankael asymmetry. We also find a lower bound on the -isoperimetric deficit using the spherical deviation.
Cite
@article{arxiv.2201.04256,
title = {Quantitative Quermassintegral Inequalities for Nearly Spherical Sets},
author = {Caroline VanBlargan and Yi Wang},
journal= {arXiv preprint arXiv:2201.04256},
year = {2022}
}
Comments
21 pages