{
  "id": "2410.00642",
  "version": "v1",
  "published": "2024-10-01T12:52:21.000Z",
  "updated": "2024-10-01T12:52:21.000Z",
  "title": "Sub-actions for geodesic flows on locally CAT(-1) spaces",
  "authors": [
    "David Constantine",
    "Elvin Shrestha",
    "Yandi Wu"
  ],
  "comment": "56 pages, 6 figures",
  "categories": [
    "math.DS",
    "math.MG"
  ],
  "abstract": "We extend a result of Lopes and Thieullen on sub-actions for smooth Anosov flows to the setting of geodesic flow on locally CAT(-1) spaces. This allows us to use arguments originally due to Croke and Dairbekov to prove a volume rigidity theorem for some interesting locally CAT(-1) spaces, including quotients of Fuchsian buildings and surface amalgams.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-01T12:52:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40"
    ],
    "keywords": [
      "locally cat",
      "geodesic flow",
      "sub-actions",
      "smooth anosov flows",
      "volume rigidity theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 56,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}