{
  "id": "1611.02390",
  "version": "v1",
  "published": "2016-11-08T05:17:57.000Z",
  "updated": "2016-11-08T05:17:57.000Z",
  "title": "On the $C^{1,1}$ regularity of geodesics in the space of Kähler metrics",
  "authors": [
    "Jianchun Chu",
    "Valentino Tosatti",
    "Ben Weinkove"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "We prove that any two Kahler potentials on a compact Kahler manifold can be connected by a geodesic segment of C^{1,1} regularity. This follows from an a priori interior real Hessian bound for solutions of the nondegenerate complex Monge-Ampere equation, which is independent of a positive lower bound for the right hand side.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-08T05:17:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J96",
      "32Q15",
      "32W20",
      "53C55"
    ],
    "keywords": [
      "kähler metrics",
      "regularity",
      "priori interior real hessian bound",
      "nondegenerate complex monge-ampere equation",
      "right hand side"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}