S. Reisner

activity

19922018

most citedLocal minimality of the volume-product at the simplex

18 citations · 33 across the 9 of their papers we have counts for

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Showing 2015 · math.MGShow all

2 papers · 2 filters

math.MG2015

The isotropy constant and boundary properties of convex bodies

Mathieu Meyer, Shlomo Reisner

Let $K^{n}$ be the set of all convex bodies in $R^{n}$ endowed with the Hausdorff distance. We prove that if $K \in K^{n}$ has positive generalized Gauss curvature a…

math.MG2015★ 5 cited

Volume product of planar polar convex bodies --- lower estimates with stability

K. J. Böröczky, E. Makai, M. Meyer +1

Let $K \subset R^{2}$ be an $o$ -symmetric convex body, and $K^{*}$ its polar body. Then we have $∣ K ∣ \cdot ∣ K^{*} ∣ \geq 8$ , with equality if and only if $K$ is a parallelogram. (…