{
  "id": "0908.0556",
  "version": "v1",
  "published": "2009-08-04T21:56:01.000Z",
  "updated": "2009-08-04T21:56:01.000Z",
  "title": "Regularity of geodesic rays and Monge-Ampere equations",
  "authors": [
    "D. H. Phong",
    "Jacob Sturm"
  ],
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "It is shown that the geodesic rays constructed as limits of Bergman geodesics from a test configuration are always of class $C^{1,\\alpha}, 0<\\alpha<1$. An essential step is to establish that the rays can be extended as solutions of a Dirichlet problem for a Monge-Ampere equation on a Kaehler manifold which is compact.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-04T21:56:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monge-ampere equation",
      "regularity",
      "essential step",
      "dirichlet problem",
      "test configuration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.0556P"
    }
  }
}