## arXiv Analytics

### arXiv:1604.05351 [math.MG]AbstractReferencesReviewsResources

#### On the volume of sections of a convex body by cones

Published 2016-04-12Version 1

Let $K$ be a convex body in $\mathbb R^n$. 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.

Comments: 13 pages
Categories: math.MG, math.FA
Subjects: 52A20, 52A40
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