{
  "id": "1605.02548",
  "version": "v1",
  "published": "2016-05-09T11:54:26.000Z",
  "updated": "2016-05-09T11:54:26.000Z",
  "title": "Convex real projective structures on manifolds and orbifolds",
  "authors": [
    "Suhyoung Choi",
    "Gye-Seon Lee",
    "Ludovic Marquis"
  ],
  "categories": [
    "math.GT",
    "math.GR",
    "math.MG"
  ],
  "abstract": "In this survey, we study deformations of finitely generated groups into Lie groups, focusing on the case underlying convex projective structures on manifolds and orb-ifolds, with an excursion on projective structures on surfaces. We survey the basics of the theory of deformations, (G, X)-structures on orbifolds, Hilbert geometry and Coxeter groups. The main examples of finitely generated groups for us will be Fuchsian groups, 3-manifold groups and Coxeter groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-09T11:54:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convex real projective structures",
      "finitely generated groups",
      "coxeter groups",
      "fuchsian groups",
      "main examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}