Algebraic convergence of finitely generated Kleinian groups in all dimensions

被引：2
|
作者：
Yang, Shihai [1 ]
机构：
[1] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 05期
关键词：
Kleinan groups; Algebraic convergence; Condition A; MOBIUS GROUPS; DISCRETENESS; TRANSFORMATIONS; THEOREMS;
D O I：
10.1016/j.laa.2009.10.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove that for a sequence {G(i,r)} of r-generator Kleinian groups acting on (R) over bar (n), if {G(i,r)} satisfies Condition A, then its algebraic limit is also a Kleinian group. This generalizes the main result in [X. Wang, Algebraic convergence theorems of n-dimensional Kleinian groups, Israel J. Math. 162 (2007) 221-233]. (C) 2009 Elsevier Inc. All rights reserved.
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页码：1147 / 1151
页数：5
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