Groups quasi-isometric to complex hyperbolic space

被引:19
作者
Chow, R [1 ]
机构
[1] NATL UNIV SINGAPORE, DEPT MATH, SINGAPORE 117548, SINGAPORE
关键词
quasiconformal mappings; Heisenberg group; complex hyperbolic space; geometric group theory;
D O I
10.1090/S0002-9947-96-01522-X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that any finitely generated group quasi-isometric to complex hyperbolic space is a finite extension of a properly discontinuous, cocompact subgroup of the isometry group.
引用
收藏
页码:1757 / 1769
页数:13
相关论文
共 23 条
  • [21] TERRAS A, 1988, HARMONIC ANAL SYMMET, V2, DOI DOI 10.1007/978-1-4612-3820-1
  • [22] THURSTON WP, 1978, LECT NOTES PRINCETON
  • [23] ON QUASI-CONFORMAL GROUPS
    TUKIA, P
    [J]. JOURNAL D ANALYSE MATHEMATIQUE, 1986, 46 : 318 - 346