{
  "id": "2203.16661",
  "version": "v1",
  "published": "2022-03-30T20:34:20.000Z",
  "updated": "2022-03-30T20:34:20.000Z",
  "title": "A Liouville's theorem for some Monge-Ampère type equations",
  "authors": [
    "Hao Fang",
    "Biao Ma",
    "Wei Wei"
  ],
  "comment": "37 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a Monge-Amp\\`ere type equation that interpolates the classical {\\sigma_2} -Yamabe equation in conformal geometry and the 2-Hessian equation in dimension 4.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-30T20:34:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monge-ampère type equations",
      "liouvilles theorem",
      "yamabe equation",
      "conformal geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}