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.
Type de document :
Article dans une revue
Proceedings of the American Mathematical Society, American Mathematical Society, 2017, 145, pp.3153 - 3164. 〈10.1090/proc/13457〉
https://hal-upec-upem.archives-ouvertes.fr/hal-01590236
Contributeur : Matthieu Fradelizi
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Soumis le : mardi 19 septembre 2017 - 14:08:12
Dernière modification le : dimanche 4 novembre 2018 - 07:54:03
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〉
