{
  "id": "math/0510252",
  "version": "v1",
  "published": "2005-10-12T15:45:02.000Z",
  "updated": "2005-10-12T15:45:02.000Z",
  "title": "Non-negatively curved Kähler manifolds with average quadratic curvature decay",
  "authors": [
    "Albert Chau",
    "Luen-Fai Tam"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "Let $(M, g)$ be a complete non-compact K\\\"ahler manifold with non-negative and bounded holomorphic bisectional curvature. Extending our techniques developed in \\cite{CT3}, we prove that the universal cover $\\wt M$ of $M$ is biholomorphic to $\\ce^n$ provided either that $(M, g)$ has average quadratic curvature decay, or $M$ supports an eternal solution to the K\\\"ahler-Ricci flow with non-negative and uniformly bounded holomorphic bisectional curvature. We also classify certain local limits arising from the K\\\"ahler-Ricci flow in the absence of uniform estimates on the injectivity radius.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-12T15:45:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "35K90"
    ],
    "keywords": [
      "average quadratic curvature decay",
      "non-negatively curved kähler manifolds",
      "bounded holomorphic bisectional curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10252C"
    }
  }
}