{
  "id": "2201.06073",
  "version": "v1",
  "published": "2022-01-16T15:32:30.000Z",
  "updated": "2022-01-16T15:32:30.000Z",
  "title": "Bisectors in the Heisenberg group I",
  "authors": [
    "Gaoshun Gou",
    "Yueping Jiang",
    "Ioannis D. Platis"
  ],
  "comment": "9 pages, 2 figures",
  "journal": "Bull. Korean Math. Soc. 2023; 60(1): 225-235",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that metric bisectors with respect to the Kor\\'anyi metric in the Heisenberg group are spinal spheres and vice versa. We also calculate explicitly their horizontal mean curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-16T15:32:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51M10",
      "53A10",
      "53C17",
      "57M50"
    ],
    "keywords": [
      "heisenberg group",
      "horizontal mean curvature",
      "metric bisectors",
      "spinal spheres",
      "koranyi metric"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}