{
  "id": "1506.03154",
  "version": "v1",
  "published": "2015-06-10T03:31:35.000Z",
  "updated": "2015-06-10T03:31:35.000Z",
  "title": "Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature --- Part II",
  "authors": [
    "Richard H. Bamler",
    "Qi S. Zhang"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this paper we analyze the behavior of the distance function under Ricci flows whose scalar curvature is uniformly bounded. We will show that on small time-intervals the distance function is $\\frac12$-H\\\"older continuous in a uniform sense. This implies that the distance function can be extended continuously up to the singular time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-10T03:31:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded scalar curvature",
      "ricci flows",
      "curvature bounds",
      "heat kernel",
      "distance function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150603154B"
    }
  }
}