30 Apr
2016
30 Apr
'16
11:34 a.m.
This is an announcement for the paper “On the volume of sections of a convex body by cones” by Matthieu Fradelizi, Mathieu Meyer and Vlad Yaskin.
Abstract: Let $K$ be a convex body in $R_n$. We prove that in small codimensions, the sections of a convex body through the centroid are quite symmetric with respect to volume. As a consequence of our estimates we give a positive answer to a problem posed by M. Meyer and S. Reisner regarding convex intersection bodies.
The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1604.05351