{
  "id": "2408.13861",
  "version": "v1",
  "published": "2024-08-25T15:18:15.000Z",
  "updated": "2024-08-25T15:18:15.000Z",
  "title": "Topological rigidity of closures of certain sparse unipotent orbits in finite-volume quotients of $\\prod_{i=1}^k\\operatorname{SL}_2(\\mathbb R)$",
  "authors": [
    "Cheng Zheng"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a simple proof about the topological rigidity of closures of certain sparse unipotent orbits in $G/\\Gamma$ where $G=\\prod_{i=1}^k\\operatorname{SL}_2(\\mathbb R)$ and $\\Gamma$ is an irreducible lattice in $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-25T15:18:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A17",
      "11J99"
    ],
    "keywords": [
      "sparse unipotent orbits",
      "topological rigidity",
      "finite-volume quotients",
      "simple proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}