{
  "id": "1807.11548",
  "version": "v1",
  "published": "2018-07-30T19:56:33.000Z",
  "updated": "2018-07-30T19:56:33.000Z",
  "title": "Projection theorems in hyperbolic space",
  "authors": [
    "Zoltán M. Balogh",
    "Annina Iseli"
  ],
  "comment": "6 pages, 2 figures",
  "categories": [
    "math.MG",
    "math.DG"
  ],
  "abstract": "We establish Marstrand-type projection theorems for orthogonal projections along geodesics onto m-dimensional subspaces of hyperbolic $n$-space by a geometric argument. Moreover, we obtain a Besicovitch-Federer type characterization of purely unrectifiable sets in terms of these hyperbolic orthogonal projections.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-30T19:56:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A78",
      "28A78",
      "53C22"
    ],
    "keywords": [
      "hyperbolic space",
      "hyperbolic orthogonal projections",
      "establish marstrand-type projection theorems",
      "besicovitch-federer type characterization",
      "geometric argument"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}