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arXiv · 2008.04000

The Viterbo's capacity conjectures for convex toric domains and the product of a $1$-unconditional convex body and its polar

Kun Shi·Guangcun Lu
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Abstract

In this note, we show that the strong Viterbo conjecture holds true on any convex toric domain, and that the Viterbo's volume-capacity conjecture holds for the product of a $1$-unconditional convex body $A\subset\mathbb{R}^{n}$ and its polar. We also give a direct calculus proof of the symmetric Mahler conjecture for $l_p$-balls.

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BibTeXRIS

Kun Shi, Guangcun Lu. 2020-08-10. The Viterbo's capacity conjectures for convex toric domains and the product of a $1$-unconditional convex body and its polar. https://arxiv.org/abs/2008.04000

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