{
  "id": "1803.00321",
  "version": "v1",
  "published": "2018-03-01T11:53:42.000Z",
  "updated": "2018-03-01T11:53:42.000Z",
  "title": "Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter",
  "authors": [
    "Antonio Cañete",
    "Salvador Segura Gomis"
  ],
  "comment": "16 pages, 14 figures",
  "categories": [
    "math.MG"
  ],
  "abstract": "In this paper we study the bisections of a centrally symmetric planar convex body which minimize the maximum relative diameter functional. We give necessary and sufficient conditions for being a minimizing bisection, as well as analyzing the behavior of the so-called standard bisection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-01T11:53:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "centrally symmetric planar convex body",
      "symmetric planar convex bodies minimizing",
      "maximum relative diameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}