{
  "id": "1910.02531",
  "version": "v1",
  "published": "2019-10-06T21:31:28.000Z",
  "updated": "2019-10-06T21:31:28.000Z",
  "title": "Kähler manifolds with almost non-negative curvature",
  "authors": [
    "Man-Chun Lee",
    "Luen-Fai Tam"
  ],
  "comment": "26 pages",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "In this paper, we construct local and global solutions to the K\\\"ahler-Ricci flow from a non-collapsed K\\\"ahler manifold with curvature bounded from below. Combines with the mollification technique of McLeod-Simon-Topping, we show that the Gromov-Hausdorff limit of sequence of complete noncompact non-collapsed K\\\"ahler manifolds with orthogonal bisectional curvature and Ricci curvature bounded from below is homeomorphic to a complex manifold. We also use it to study the complex structure of complete K\\\"ahler manifolds with nonnegative orthogonal bisectional curvature, nonnegative Ricci curvature and maximal volume growth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-06T21:31:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kähler manifolds",
      "non-negative curvature",
      "ricci curvature",
      "nonnegative orthogonal bisectional curvature",
      "maximal volume growth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}