{
  "id": "1112.5987",
  "version": "v1",
  "published": "2011-12-27T16:40:17.000Z",
  "updated": "2011-12-27T16:40:17.000Z",
  "title": "On the collapsing rate of the Kähler-Ricci flow with finite-time singularity",
  "authors": [
    "Frederick Tsz-Ho Fong"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "This short note studies the collapsing behavior of the K\\\"ahler-Ricci flow on a compact K\\\"ahler manifold X admitting a holomorphic submersion X -> B where B is a K\\\"ahler manifold of lower dimension than X. We give cohomological and curvature conditions under which the fibers collapse at the optimal rate ~(T-t)^{1/2}",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-27T16:40:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kähler-ricci flow",
      "finite-time singularity",
      "collapsing rate",
      "short note studies",
      "optimal rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5987T"
    }
  }
}