{
  "id": "0806.1008",
  "version": "v1",
  "published": "2008-06-05T16:34:06.000Z",
  "updated": "2008-06-05T16:34:06.000Z",
  "title": "Rigidity at the boundary for conformal structures and other Cartan geometries",
  "authors": [
    "Charles Frances"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we consider the problem of building a conformal boundary, embedding a pseudo-Riamnnian manifold as an open subset of a bigger one. We get first results about conformal maximality. We also show that in dimension $\\geq 3$, there are rigidity properties for the topological boundary of such a conformal embedding. We get results of the same kind about general Cartan geometries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-05T16:34:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A30",
      "53C50"
    ],
    "keywords": [
      "conformal structures",
      "general cartan geometries",
      "open subset",
      "pseudo-riamnnian manifold",
      "rigidity properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.1008F"
    }
  }
}