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arXiv · 2311.02870

Symplectic variations of convex bodies and the mean width

Jonghyeon Ahn·Ely Kerman
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Abstract

In this work, we study convex bodies in $\RR^{2n}$ 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.

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Jonghyeon Ahn, Ely Kerman. 2023-11-06. Symplectic variations of convex bodies and the mean width. https://arxiv.org/abs/2311.02870

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