Abstract of a paper by Daniel Fresen
This is an announcement for the paper "Comments on the floating body and the hyperplane conjecture" by Daniel Fresen. Abstract: We provide 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 $K$. We also discuss the hyperplane conjecture (the slicing problem) and provide a reformulation of this famous unsolved mystery in terms of the floating body. Archive classification: math.FA math.PR Mathematics Subject Classification: 52A23, 52A20, 52A21, 52A38 Remarks: 8 pages Submitted from: djfb6b@mail.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1102.2570 or http://arXiv.org/abs/1102.2570
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