{
  "id": "1207.7290",
  "version": "v1",
  "published": "2012-07-31T15:26:56.000Z",
  "updated": "2012-07-31T15:26:56.000Z",
  "title": "Volume inequalities and additive maps of convex bodies",
  "authors": [
    "Franz E. Schuster"
  ],
  "journal": "Mathematika 53 (2006), 211-234",
  "categories": [
    "math.MG",
    "math.DG",
    "math.FA"
  ],
  "abstract": "Analogues of the classical inequalities from the Brunn-Minkowski theory for rotation intertwining additive maps of convex bodies are developed. Analogues are also proved of inequalities from the dual Brunn-Minkowski theory for intertwining additive maps of star bodies. These inequalities provide generalizations of results for projection and intersection bodies. As a corollary, a new Brunn-Minkowski inequality is obtained for the volume of polar projection bodies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-31T15:26:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A40",
      "52A39"
    ],
    "keywords": [
      "convex bodies",
      "volume inequalities",
      "dual brunn-minkowski theory",
      "polar projection bodies",
      "rotation intertwining additive maps"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.7290S"
    }
  }
}