{
  "id": "math/0107193",
  "version": "v2",
  "published": "2001-07-27T01:46:59.000Z",
  "updated": "2003-07-29T02:40:23.000Z",
  "title": "The deformation spaces of convex RP^2-structures on 2-orbifolds",
  "authors": [
    "Suhyoung Choi",
    "William Goldman"
  ],
  "comment": "77 pages, 31 figures",
  "journal": "Amer. J. Math. 127 (2005), no. 5, 1019-1102",
  "categories": [
    "math.GT",
    "math.GR",
    "math.RA"
  ],
  "abstract": "We determine that the deformation space of convex real projective structures, that is, projectively flat torsion-free connections with the geodesic convexity property on a compact 2-orbifold of negative Euler characteristic is homeomorphic to a cell of certain dimension. The basic techniques are from Thurston's lecture notes on hyperbolic 2-orbifolds, and the previous work of Goldman on convex real projective structures on surfaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-07-29T02:40:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "53A20",
      "53C15"
    ],
    "keywords": [
      "deformation space",
      "convex real projective structures",
      "thurstons lecture notes",
      "geodesic convexity property",
      "projectively flat torsion-free connections"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 77,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......7193C"
    }
  }
}