Isometries of Lorentz surfaces and convergence groups

被引：5
|
作者：
Monclair, Daniel [1 ]
机构：
[1] UMPA, Ecole Normale Super Lyon, F-69364 Lyon 07, France
来源：
MATHEMATISCHE ANNALEN | 2015年 / 363卷 / 1-2期
关键词：
ANOSOV-FLOWS; GEODESIC FOLIATIONS; MANIFOLDS; 3-MANIFOLDS; GEOMETRY; THEOREM;
D O I：
10.1007/s00208-014-1157-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the isometry group of a globally hyperbolic spatially compact Lorentz surface. Such a group acts on the circle, and we show that when the isometry group acts non properly, the subgroups of obtained are semi conjugate to subgroups of finite covers of by using convergence groups. Under an assumption on the conformal boundary, we show that we have a conjugacy in Homeo(S-1).
引用
收藏
页码：101 / 141
页数：41
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