{
  "id": "1907.03277",
  "version": "v1",
  "published": "2019-07-07T12:49:39.000Z",
  "updated": "2019-07-07T12:49:39.000Z",
  "title": "A flat torus theorem for convex co-compact actions of projective linear groups",
  "authors": [
    "Mitul Islam",
    "Andrew Zimmer"
  ],
  "comment": "20 pages. Comments welcome",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "In this paper, we consider discrete groups in ${\\rm PGL}_d(\\mathbb{R})$ acting convex co-compactly on a properly convex domain in real projective space. For such groups, we establish an analogue of the well known flat torus theorem for ${\\rm CAT}(0)$ spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-07T12:49:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A20",
      "57N16",
      "58B20",
      "20F67",
      "20H10"
    ],
    "keywords": [
      "flat torus theorem",
      "convex co-compact actions",
      "projective linear groups",
      "real projective space",
      "discrete groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}