{
  "id": "2006.13279",
  "version": "v1",
  "published": "2020-06-23T19:21:23.000Z",
  "updated": "2020-06-23T19:21:23.000Z",
  "title": "Isolated singularities of solutions to the Yamabe equation in dimension $6$",
  "authors": [
    "Jingang Xiong",
    "Lei Zhang"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We study the asymptotic behavior of local solutions to the Yamabe equation near an isolated singularity, when the metric is not conformally flat. We prove that, in dimension $6$, any solution is asymptotically close to a Fowler solution, which is an extension of the same result for lower dimensions by F.C. Marques in 2008.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-23T19:21:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J05"
    ],
    "keywords": [
      "yamabe equation",
      "isolated singularity",
      "local solutions",
      "asymptotic behavior",
      "fowler solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}