{
  "id": "math/0307334",
  "version": "v2",
  "published": "2003-07-25T09:45:37.000Z",
  "updated": "2004-02-26T11:06:32.000Z",
  "title": "Estimates of the Kobayashi metric on almost complex manifolds",
  "authors": [
    "H. Gaussier",
    "A. Sukhov"
  ],
  "comment": "date de redaction: 2003-4-3",
  "categories": [
    "math.CV",
    "math.DG"
  ],
  "abstract": "We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold $(M,J)$ admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in $M$ and to give a sufficient condition for the complete hyperbolicity of a domain in $(M,J)$. Finally we obtain the regularity up to the bounday of $J$-holomorphic discs attached to a totally real submanifold in $M$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-26T11:06:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H02",
      "32H40",
      "32T15",
      "53C15"
    ],
    "keywords": [
      "complex manifold",
      "kobayashi metric",
      "kobayashi-royden infinitesimal pseudometric",
      "bounded strictly plurisubharmonic function",
      "lower estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7334G"
    }
  }
}