Symplectic variations of convex bodies and the mean width
Symplectic Geometry
2026-02-10 v3
Abstract
In this work, we study convex bodies in with the property that their mean width cannot be infinitesimally decreased by symplectomorphisms. The common theme of our results is that toric symmetry is a preferred feature of convex bodies with this property.
Cite
@article{arxiv.2311.02870,
title = {Symplectic variations of convex bodies and the mean width},
author = {Jonghyeon Ahn and Ely Kerman},
journal= {arXiv preprint arXiv:2311.02870},
year = {2026}
}
Comments
25 pages, 2 figures