Mahler's conjecture for some hyperplane sections
Metric Geometry
2022-02-03 v3 Symplectic Geometry
Abstract
We use symplectic techniques to obtain partial results on Mahler's conjecture about the product of the volume of a convex body and the volume of its polar. We confirm the conjecture for hyperplane sections or projections of -balls or the Hanner polytopes.
Cite
@article{arxiv.1902.08971,
title = {Mahler's conjecture for some hyperplane sections},
author = {Roman Karasev},
journal= {arXiv preprint arXiv:1902.08971},
year = {2022}
}