{
  "id": "2203.16514",
  "version": "v1",
  "published": "2022-03-30T17:51:08.000Z",
  "updated": "2022-03-30T17:51:08.000Z",
  "title": "Exceptional sets for geodesic flows of noncompact manifolds",
  "authors": [
    "Katrin Gelfert",
    "Felipe Riquelme"
  ],
  "comment": "25 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "For a geodesic flow on a negatively curved Riemannian manifold $M$ and some subset $A\\subset T^1M$, we study the limit $A$-exceptional set, that is the set of points whose $\\omega$-limit do not intersect $A$. We show that if the topological $\\ast$-entropy of $A$ is smaller than the topological entropy of the geodesic flow, then the limit $A$-exceptional set has full topological entropy. Some consequences are stated for limit exceptional sets of invariant compact subsets and proper submanifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-30T17:51:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B40",
      "37D40",
      "37F35",
      "28D20",
      "37B10"
    ],
    "keywords": [
      "geodesic flow",
      "noncompact manifolds",
      "limit exceptional sets",
      "invariant compact subsets",
      "negatively curved riemannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}