English

A $sqrt{n}$ estimate for measures of hyperplane sections of convex bodies

Metric Geometry 2013-09-23 v1

Abstract

We prove an estimate for arbitrary measure of sections of convex bodies. The proof is based on a stability result for intersection bodies.

Keywords

Cite

@article{arxiv.1309.5271,
  title  = {A $sqrt{n}$ estimate for measures of hyperplane sections of convex bodies},
  author = {Alexander Koldobsky},
  journal= {arXiv preprint arXiv:1309.5271},
  year   = {2013}
}