{
  "id": "2009.05035",
  "version": "v1",
  "published": "2020-09-10T17:56:12.000Z",
  "updated": "2020-09-10T17:56:12.000Z",
  "title": "Topological mixing of the geodesic flow on convex projective manifolds",
  "authors": [
    "Pierre-Louis Blayac"
  ],
  "comment": "22 pages, 5 figures",
  "categories": [
    "math.DS",
    "math.GT"
  ],
  "abstract": "We introduce a natural subset of the unit tangent bundle of an irreducible convex projective manifold, which is closed and invariant under the geodesic flow, and we prove that the geodesic flow is topologically mixing on it. We also show that, for higher-rank compact convex projective manifolds, the geodesic flow is topologically mixing on each connected component of the non-wandering set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-10T17:56:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "22E40",
      "53A20",
      "37B05"
    ],
    "keywords": [
      "geodesic flow",
      "topological mixing",
      "higher-rank compact convex projective manifolds",
      "unit tangent bundle",
      "irreducible convex projective manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}