On the volume of sections of a convex body by cones
Résumé
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.
Domaines
Analyse fonctionnelle [math.FA]
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