On the volume of sections of a convex body by cones - Archive ouverte HAL Access content directly
Journal Articles Proceedings of the American Mathematical Society Year : 2017

On the volume of sections of a convex body by cones

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.
Fichier principal
Vignette du fichier
fmy2017-offprints.pdf (209.15 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01590236 , version 1 (19-09-2017)

Identifiers

Cite

Matthieu Fradelizi, Mathieu Meyer, Vlad Yaskin. On the volume of sections of a convex body by cones. Proceedings of the American Mathematical Society, 2017, 145, pp.3153 - 3164. ⟨10.1090/proc/13457⟩. ⟨hal-01590236⟩
39 View
321 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More