{
  "id": "1102.2570",
  "version": "v2",
  "published": "2011-02-13T09:28:21.000Z",
  "updated": "2011-02-20T07:49:24.000Z",
  "title": "Comments on the floating body and the hyperplane conjecture",
  "authors": [
    "Daniel Fresen"
  ],
  "comment": "8 pages",
  "categories": [
    "math.FA",
    "math.PR"
  ],
  "abstract": "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 $K$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-20T07:49:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A23",
      "52A20",
      "52A21",
      "52A38"
    ],
    "keywords": [
      "hyperplane conjecture",
      "logarithmic hausdorff distance",
      "arbitrary convex body",
      "convex floating body",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.2570F"
    }
  }
}