Estimates for measures of sections of convex bodies
Metric Geometry
2013-09-26 v1
Abstract
A estimate in the hyperplane problem with arbitrary measures has recently been proved in \cite{K3}. In this note we present analogs of this result for sections of lower dimensions and in the complex case. We deduce these inequalities from stability in comparison problems for different generalizations of intersection bodies.
Keywords
Cite
@article{arxiv.1309.6485,
title = {Estimates for measures of sections of convex bodies},
author = {Alexander Koldobsky},
journal= {arXiv preprint arXiv:1309.6485},
year = {2013}
}