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.

引用

页码：1147 / 1151

页数：5

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