{
  "id": "math/0306089",
  "version": "v1",
  "published": "2003-06-05T14:57:06.000Z",
  "updated": "2003-06-05T14:57:06.000Z",
  "title": "Isoperimetric inequalities of euclidean type in metric spaces",
  "authors": [
    "Stefan Wenger"
  ],
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "In this paper we prove an isoperimetric inequality of euclidean type for complete metric spaces admitting a cone-type inequality. These include all Banach spaces and all complete, simply-connected metric spaces of non-positive curvature in the sense of Alexandrov or, more generally, of Busemann. The main theorem generalizes results of Gromov and Ambrosio-Kirchheim.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-06-05T14:57:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q15"
    ],
    "keywords": [
      "isoperimetric inequality",
      "euclidean type",
      "main theorem generalizes results",
      "banach spaces",
      "simply-connected metric spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6089W"
    }
  }
}