{
  "id": "2004.01698",
  "version": "v1",
  "published": "2020-04-03T17:59:23.000Z",
  "updated": "2020-04-03T17:59:23.000Z",
  "title": "On Eigenvalues of Geometrically Finite Hyperbolic Manifolds with Infinite Volume",
  "authors": [
    "Xiaolong Hans Han"
  ],
  "comment": "11 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we relate the eigenvalues of Laplace_Beltrami operator on an oriented geometrically finite hyperbolic manifold with infinite volume and dimension at least 3 to the eigenvalues of some neighborhood of the thick part of its convex core.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-03T17:59:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite volume",
      "eigenvalues",
      "oriented geometrically finite hyperbolic manifold",
      "convex core",
      "thick part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}