REGENERATING HYPERBOLIC CONE 3-MANIFOLDS FROM DIMENSION 2

被引：4
|
作者：
Porti, Joan [1 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, Cerdanyola Del Valles 08193, Spain
来源：
ANNALES DE L INSTITUT FOURIER | 2013年 / 63卷 / 05期
关键词：
orbifold; hyperbolic cone 3-manifold; degeneration; hyperbolic polygon; perimeter; GROUP-REPRESENTATIONS; FUNDAMENTAL-GROUPS; VARIETY;
D O I：
10.5802/aif.2820
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a closed 3-orbifold that fibers over a hyperbolic polygonal 2-orbifold admits a family of hyperbolic cone structures that are viewed as regenerations of the polygon, provided that the perimeter is minimal.
引用
收藏
页码：1971 / 2015
页数：45
相关论文
共 50 条
  • [21] Verified Computations for Hyperbolic 3-Manifolds
    Hoffman, Neil
    Ichihara, Kazuhiro
    Kashiwagi, Masahide
    Masai, Hidetoshi
    Oishi, Shin'ichi
    Takayasu, Akitoshi
    [J]. EXPERIMENTAL MATHEMATICS, 2016, 25 (01) : 66 - 78
  • [22] Hyperbolic 3-Manifolds Boot Camp
    Adams, Colin
    [J]. MATHEMATICAL INTELLIGENCER, 2021, 43 (01): : 40 - 41
  • [23] TORI WITH HYPERBOLIC DYNAMICS IN 3-MANIFOLDS
    Rodriguez Hertz, Federico
    Rodriguez Hertz, Maria Alejandra
    Ures, Raul
    [J]. JOURNAL OF MODERN DYNAMICS, 2011, 5 (01) : 185 - 202
  • [24] Thick surfaces in hyperbolic 3-manifolds
    Masters, Joseph D.
    [J]. GEOMETRIAE DEDICATA, 2006, 119 (01) : 17 - 33
  • [25] On certain classes of hyperbolic 3-manifolds
    Alberto Cavicchioli
    Luisa Paoluzzi
    [J]. manuscripta mathematica, 2000, 101 : 457 - 494
  • [26] THE SPECTRUM OF DEGENERATING HYPERBOLIC 3-MANIFOLDS
    CHAVEL, I
    DODZIUK, J
    [J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1994, 39 (01) : 123 - 137
  • [27] Norms on the cohomology of hyperbolic 3-manifolds
    Jeffrey F. Brock
    Nathan M. Dunfield
    [J]. Inventiones mathematicae, 2017, 210 : 531 - 558
  • [28] Bloch invariants of hyperbolic 3-manifolds
    Neumann, WD
    Yang, J
    [J]. DUKE MATHEMATICAL JOURNAL, 1999, 96 (01) : 29 - 59
  • [29] Cusp transitivity in hyperbolic 3-manifolds
    John G. Ratcliffe
    Steven T. Tschantz
    [J]. Geometriae Dedicata, 2021, 212 : 141 - 152
  • [30] NONSIMPLE GEODESICS IN HYPERBOLIC 3-MANIFOLDS
    JONES, KN
    REID, AW
    [J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1994, 116 : 339 - 351
12345