{
  "id": "1605.06254",
  "version": "v1",
  "published": "2016-05-20T09:09:34.000Z",
  "updated": "2016-05-20T09:09:34.000Z",
  "title": "A lower bound for the isoperimetric deficit",
  "authors": [
    "Julià Cufí",
    "Agustí Reventós"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we provide a Bonnesen-style inequality which gives a lower bound for the isoperimetric deficit corresponding to a closed convex curve in terms of some geometrical invariants of this curve. Moreover we give a geometrical interpretation for the case when equality holds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-20T09:09:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bound",
      "equality holds",
      "bonnesen-style inequality",
      "closed convex curve",
      "geometrical invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}