Regularity of limit sets of AdS quasi-Fuchsian groups

被引:0
作者
Glorieux, Olivier [1 ]
Monclair, Daniel [2 ]
机构
[1] Lycee Chaptal, 45 Bd Batignolles, F-75008 Paris, France
[2] Univ Paris Saclay, Inst Math Orsay, Batiment 307, F-91405 Orsay, France
关键词
REPRESENTATIONS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Limit sets of AdS quasi-Fuchsian groups of PO(n, 2) are always Lipschitz submanifolds. The aim of this article is to show that they are never C-1, except for the case of Fuchsian groups. As a byproduct we show that AdS quasi-Fuchsian groups that are not Fuchsian are Zariski dense in PO(n, 2).
引用
收藏
页码:429 / 439
页数:11
相关论文
共 15 条
  • [1] Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on AdS3
    Barbot, Thierry
    Beguin, Francois
    Zeghib, Abdelghani
    [J]. GEOMETRIAE DEDICATA, 2007, 126 (01) : 71 - 129
  • [2] Barbot T, 2015, J DIFFER GEOM, V101, P1
  • [3] Anosov AdS representations are quasi-Fuchsian
    Barbot, Thierry
    Merigot, Quentin
    [J]. GROUPS GEOMETRY AND DYNAMICS, 2012, 6 (03) : 441 - 483
  • [4] Benoist Y, 1997, GEOM FUNCT ANAL, V7, P1, DOI 10.1007/PL00001613
  • [5] Convex cocompactness in pseudo-Riemannian hyperbolic spaces
    Danciger, Jeffrey
    Gueritaud, Francois
    Kassel, Fanny
    [J]. GEOMETRIAE DEDICATA, 2018, 192 (01) : 87 - 126
  • [6] DGK17 Jeffrey, IN PRESS
  • [7] Connected subgroups of SO(2,n) acting irreducibly on R2,n
    Di Scala, Antonio J.
    Leistner, Thomas
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2011, 182 (01) : 103 - 121
  • [8] Frances C, 2005, COMMENT MATH HELV, V80, P883
  • [9] Ghys GdlH Etienne, 1990, Progr. Math., V83
  • [10] Glorieux GM Olivier, 2021, Int. Math. Res. Not. IMRN, P13661