On the volume of sections of a convex body by cones
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- by Matthieu Fradelizi, Mathieu Meyer and Vlad Yaskin PDF
- Proc. Amer. Math. Soc. 145 (2017), 3153-3164 Request permission
Abstract:
We prove that in small codimensions, the sections of a convex body in $\mathbb R^n$ 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.References
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Additional Information
- Matthieu Fradelizi
- Affiliation: Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées UMR 8050, UPEMLV, UPEC, CNRS F-77454, Marne-la-Vallée, France
- MR Author ID: 626525
- Email: matthieu.fradelizi@u-pem.fr
- Mathieu Meyer
- Affiliation: Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées UMR 8050, UPEMLV, UPEC, CNRS F-77454, Marne-la-Vallée, France
- MR Author ID: 197612
- Email: mathieu.meyer@u-pem.fr
- Vlad Yaskin
- Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
- MR Author ID: 650371
- Email: yaskin@ualberta.ca
- Received by editor(s): April 12, 2016
- Received by editor(s) in revised form: August 29, 2016
- Published electronically: January 23, 2017
- Additional Notes: The third author was supported in part by NSERC. Part of this work was done when the third author was visiting Université Paris-Est Marne-la-Vallée. He is grateful for its hospitality
- Communicated by: Thomas Schlumprecht
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3153-3164
- MSC (2010): Primary 52A20, 52A40
- DOI: https://doi.org/10.1090/proc/13457
- MathSciNet review: 3637961