{
  "id": "1910.13477",
  "version": "v1",
  "published": "2019-10-29T18:52:51.000Z",
  "updated": "2019-10-29T18:52:51.000Z",
  "title": "Proper $r$-harmonic functions on the Thurston geometries",
  "authors": [
    "Sigmundur Gudmundsson",
    "Anna Siffert"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "For any positive natural number $r\\in\\N^+$ we construct new explicit proper $r$-harmonic functions on the celebrated $3$-dimensional Thurston geometries $\\Sol$, $\\Nil$, $\\SL2$, $\\H^2\\times\\rn$ and $\\s^2\\times\\rn$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-29T18:52:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic functions",
      "dimensional thurston geometries",
      "positive natural number",
      "explicit proper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}