[Banach] 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