{
  "id": "2006.01544",
  "version": "v1",
  "published": "2020-06-02T12:10:14.000Z",
  "updated": "2020-06-02T12:10:14.000Z",
  "title": "Long-time existence of Yamabe flow on singular spaces with positive Yamabe constant",
  "authors": [
    "Jørgen Olsen Lye",
    "Boris Vertman"
  ],
  "comment": "36 pages,",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "In this work we establish long-time existence of the normalized Yamabe flow with positive Yamabe constant on a class of manifolds that includes spaces with incomplete cone-edge singularities. We formulate our results axiomatically, so that our results extend to general stratified spaces as well, provided certain parabolic Schauder estimates hold. The central analytic tool is a parabolic Moser iteration, which yields uniform upper and lower bounds on both the solution and the scalar curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-02T12:10:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "58J35",
      "35K08"
    ],
    "keywords": [
      "positive yamabe constant",
      "yamabe flow",
      "long-time existence",
      "singular spaces",
      "parabolic schauder estimates hold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}