{
  "id": "1904.12541",
  "version": "v1",
  "published": "2019-04-29T09:51:27.000Z",
  "updated": "2019-04-29T09:51:27.000Z",
  "title": "A direct proof of the Brunn-Minkowski inequality in Nilpotent Lie groups",
  "authors": [
    "Julián Pozuelo"
  ],
  "comment": "13 pages, no figures",
  "categories": [
    "math.MG"
  ],
  "abstract": "The purpose of this work is to give a direct proof of the multiplicative Brunn-Minkowski inequality in nilpotent Lie groups based on Hadwiger-Ohmann's one of the classical Brunn-Minkowski inequality in Euclidean space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-29T09:51:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E25",
      "22E30",
      "26B15"
    ],
    "keywords": [
      "nilpotent lie groups",
      "direct proof",
      "multiplicative brunn-minkowski inequality",
      "classical brunn-minkowski inequality",
      "euclidean space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}