{
  "id": "1510.05788",
  "version": "v1",
  "published": "2015-10-20T08:31:14.000Z",
  "updated": "2015-10-20T08:31:14.000Z",
  "title": "Long time existence and bounded scalar curvature in the Ricci-harmonic flow",
  "authors": [
    "Yi Li"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this paper we study the long time existence of the Ricci-harmonic flow in terms of scalar curvature and Weyl tensor which extends Cao's result \\cite{Cao2011} in the Ricci flow. In dimension four, we also study the integral bound of the \"Riemann curvature\" for the Ricci-harmonic flow generalizing a recently result of Simon \\cite{Simon2015}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-20T08:31:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long time existence",
      "ricci-harmonic flow",
      "bounded scalar curvature",
      "extends caos result",
      "integral bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151005788L"
    }
  }
}