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

2020/08/10 by Shi, Kun, Lu, Guangcun
#52A20 #52A40 #52B60 #53D35 #FOS: Mathematics #Metric Geometry (math.MG) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2008.04000

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⊂ℝⁿ and its polar. We also give a direct calculus proof of the symmetric Mahler conjecture for l_p-balls.

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