{
  "id": "math/0610535",
  "version": "v2",
  "published": "2006-10-18T02:09:27.000Z",
  "updated": "2007-08-21T04:56:53.000Z",
  "title": "On the Steinness of a class of Kähler manifolds",
  "authors": [
    "Albert Chau",
    "Luen-Fai Tam"
  ],
  "comment": "Theorem 1.1 has been improved, a new Theorem (Theorem 6.1) has been added",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "Let $(M^n, g)$ be a complete non-compact K\\\"ahler manifold with non-negative and bounded holomorphic bisectional curvature. We prove that $M$ is holomorphically covered by a pseudoconvex domain in $\\C^n$ which is homeomorphic to $\\R^{2n}$, provided $(M^n, g)$ has uniform linear average quadratic curvature decay.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-08-21T04:56:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "35K90"
    ],
    "keywords": [
      "kähler manifolds",
      "linear average quadratic curvature decay",
      "uniform linear average quadratic curvature",
      "bounded holomorphic bisectional curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10535C"
    }
  }
}