{
  "id": "0906.5527",
  "version": "v2",
  "published": "2009-06-30T13:59:58.000Z",
  "updated": "2011-07-26T15:06:23.000Z",
  "title": "Convergence of Lagrangian mean curvature flow in Kähler-Einstein manifolds",
  "authors": [
    "Haozhao Li"
  ],
  "comment": "Final version, to appear in Math. Z",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this paper, we give some convergence results of Lagrangian mean curvature flow under some stability conditions in a general K\\\"ahler-Einstein manifold. In particular, we prove that the flow will converge if the initial data is some small perturbation of stable minimal Lagrangian submanifold in a K\\\"ahler-Einstein manifold.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-26T15:06:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "53A10"
    ],
    "keywords": [
      "lagrangian mean curvature flow",
      "kähler-einstein manifolds",
      "stable minimal lagrangian submanifold",
      "stability conditions",
      "convergence results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.5527L"
    }
  }
}