{
  "id": "0911.0370",
  "version": "v3",
  "published": "2009-11-02T18:07:27.000Z",
  "updated": "2009-12-16T18:19:36.000Z",
  "title": "An integral formula for the volume entropy with applications to rigidity",
  "authors": [
    "Francois Ledrappier",
    "Xiaodong Wang"
  ],
  "comment": "added discussion on quaternionic Kahler case; reorganized",
  "categories": [
    "math.DG",
    "math.DS"
  ],
  "abstract": "We extend the theory of Patterson-Sullivan measure to any regular covering of a compact manifold using the Busemann compactification and derive an integral formula for the volume entropy. As applications we prove some rigidity theorems for the volume entropy.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-12-16T18:19:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "volume entropy",
      "integral formula",
      "applications",
      "rigidity theorems",
      "busemann compactification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0370L"
    }
  }
}