{
  "id": "2103.07003",
  "version": "v1",
  "published": "2021-03-11T23:24:40.000Z",
  "updated": "2021-03-11T23:24:40.000Z",
  "title": "Conformal tori with almost non-negative scalar curvature",
  "authors": [
    "Jianchun Chu",
    "Man-Chun Lee"
  ],
  "comment": "20 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this work, we consider sequence of metrics with almost non-negative scalar curvature on torus. We show that if the sequence is uniformly conformal to another sequence of metrics with uniformly controlled geometry, then it converges to a flat metric in the volume preserving intrinsic flat sense, $L^{p}$ sense and the measured Gromov-Hausdorff sense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-11T23:24:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-negative scalar curvature",
      "conformal tori",
      "volume preserving intrinsic flat sense",
      "measured gromov-hausdorff sense"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}