Comments on the floating body and the hyperplane conjecture

Details Comments on the floating body and the hyperplane conjecture Comments on the floating body and the hyperplane conjecture

2011-02-13

arxiv.org/abs/1102.2570v2

Mathematics

Functional Analysis

8 pages

Scientific paper

We provide a reformulation of the hyperplane conjecture (the slicing problem)
in terms of the floating body and give upper and lower bounds on the
logarithmic Hausdorff distance between an arbitrary convex body $K\subset
\mathbb{R}^{d}$\ and the convex floating body $K_{\delta}$ inside $K$.

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