{
  "id": "2108.09791",
  "version": "v1",
  "published": "2021-08-22T17:21:13.000Z",
  "updated": "2021-08-22T17:21:13.000Z",
  "title": "Comparison of Limit Sets for the Action of Kleinian Groups in $\\mathbb{C}P^n$",
  "authors": [
    "Alejandro Ucan-Puc",
    "Jose Seade"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We compare different notions of limit sets for the action of Kleinian groups on the $n-$dimensional projective space via the irreducible representation $\\varrho:PSL(2,\\mathbb{C})\\to PSL(n+1,\\mathbb{C}).$ In particular, we prove that if the Kleinian group is convex-cocompact, the Myrberg and the Kulkarni limit coincide.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-22T17:21:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F32",
      "20H10",
      "37F80"
    ],
    "keywords": [
      "kleinian group",
      "limit sets",
      "comparison",
      "kulkarni limit coincide",
      "dimensional projective space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}