GEOMETRICAL FINITENESS FOR HYPERBOLIC GROUPS

被引：154

作者：

BOWDITCH, BH

机构：

[1] Faculty of Mathematical Studies, University of Southampton, Southampton, Highfield

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1993年 / 113卷 / 02期

关键词：

D O I：

10.1006/jfan.1993.1052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give an account of the notion of geometrical finiteness as applied to discrete groups acting on hyperbolic space of any dimension. We prove the equivalence of various definitions of geometrical finiteness, and describe the geometry of fundamental domains. We give a complete account of when Dirichiet domains are finite-sided. © 1993 by Academic Press. Inc.

引用

页码：245 / 317

页数：73

共 48 条

[21] FUNDAMENTAL DOMAINS FOR LATTICES IN (R-)RANK-1 SEMISIMPLE LIE GROUPS [J].