{
  "id": "1112.3976",
  "version": "v1",
  "published": "2011-12-16T21:33:31.000Z",
  "updated": "2011-12-16T21:33:31.000Z",
  "title": "Non-uniqueness of convex bodies with prescribed volumes of sections and projections",
  "authors": [
    "Fedor Nazarov",
    "Dmitry Ryabogin",
    "Artem Zvavitch"
  ],
  "doi": "10.1112/S0025579312001027",
  "categories": [
    "math.CA",
    "math.FA",
    "math.MG"
  ],
  "abstract": "We show that if $d\\ge 4$ is even, then one can find two essentially different convex bodies such that the volumes of their maximal sections, central sections, and projections coincide for all directions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-16T21:33:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A20",
      "52A40",
      "52A38"
    ],
    "keywords": [
      "convex bodies",
      "prescribed volumes",
      "non-uniqueness",
      "maximal sections"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}