{
  "id": "math/9204212",
  "version": "v1",
  "published": "1992-04-14T21:41:02.000Z",
  "updated": "1992-04-14T21:41:02.000Z",
  "title": "The volume of the intersection of a convex body with its translates",
  "authors": [
    "Mathieu Meyer",
    "Shlomo Reisner",
    "M. Schmuckenschlager"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "It is proved that for a symmetric convex body K in R^n, if for some tau > 0, |K cap (x+tau K)| depends on ||x||_K only, then K is an ellipsoid. As a part of the proof, smoothness properties of convolution bodies ls are studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1992-04-14T21:41:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "translates",
      "intersection",
      "symmetric convex body",
      "convolution bodies ls",
      "smoothness properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1992math......4212M"
    }
  }
}