{
  "id": "0911.3067",
  "version": "v1",
  "published": "2009-11-16T16:33:15.000Z",
  "updated": "2009-11-16T16:33:15.000Z",
  "title": "Deforming ideal solid tori",
  "authors": [
    "François Guéritaud"
  ],
  "comment": "15 pages, 0 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We describe the deformation space of a solid torus with boundary modelled on convex ideal hyperbolic polyhedra. This deformation space is given by natural Gauss--Bonnet type inequalities on the dihedral angles. The result extends to solid tori with an arbitrary conical singularity along the core. Our method is to decompose the torus into tetrahedra and maximize a volume functional.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-16T16:33:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "solid torus",
      "deforming ideal solid tori",
      "convex ideal hyperbolic polyhedra",
      "natural gauss-bonnet type inequalities",
      "deformation space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.3067G"
    }
  }
}