{
  "id": "1910.10248",
  "version": "v1",
  "published": "2019-10-22T21:59:04.000Z",
  "updated": "2019-10-22T21:59:04.000Z",
  "title": "Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane",
  "authors": [
    "M. Angeles Alfonseca",
    "Michelle Cordier",
    "Dan I. Florentin"
  ],
  "comment": "16 pages, 10 figures",
  "categories": [
    "math.MG"
  ],
  "abstract": "Following Santal\\'{o}'s approach, we prove several characterizations of a disc among bodies of constant width, constant projections lengths, or constant section lengths on given families of geodesics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-22T21:59:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A75",
      "51M09",
      "51M10",
      "51M25",
      "51F99",
      "52A38",
      "52A55",
      "53A35"
    ],
    "keywords": [
      "constant width",
      "hyperbolic plane",
      "uniqueness results",
      "constant projections lengths",
      "constant section lengths"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}