Abstract : We prove that in small codimensions, the sections of a convex body in R^n through its 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.
https://hal-upec-upem.archives-ouvertes.fr/hal-01590236
Contributor : Matthieu Fradelizi
<>
Submitted on : Tuesday, September 19, 2017 - 2:08:12 PM
Last modification on : Monday, January 27, 2020 - 9:54:04 AM
Matthieu Fradelizi, Mathieu Meyer, Vlad Yaskin. On the volume of sections of a convex body by cones. Proceedings of the American Mathematical Society, American Mathematical Society, 2017, 145, pp.3153 - 3164. ⟨10.1090/proc/13457⟩. ⟨hal-01590236⟩
