Volume difference inequalities
Metric Geometry
2016-08-12 v1
Abstract
We prove several inequalities estimating the distance between volumes of two bodies in terms of the maximal or minimal difference between areas of sections or projections of these bodies. We also provide extensions in which volume is replaced by an arbitrary measure.
Cite
@article{arxiv.1608.03435,
title = {Volume difference inequalities},
author = {Apostolos Giannopoulos and Alexander Koldobsky},
journal= {arXiv preprint arXiv:1608.03435},
year = {2016}
}