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

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 348卷 / 05期

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

页码：1757 / 1769

页数：13

共 23 条

[1] A CHARACTERIZATION OF COCOMPACT HYPERBOLIC AND FINITE-VOLUME HYPERBOLIC GROUPS IN DIMENSION-3
CANNON, JW
COOPER, D
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 330 (01) : 419 - 431
[2] CONVERGENCE GROUPS AND SEIFERT FIBERED 3-MANIFOLDS
CASSON, A
JUNGREIS, D
[J]. INVENTIONES MATHEMATICAE, 1994, 118 (03) : 441 - 456
[3] EPSTEIN DBA, 1987, LONDON MATH SOC LECT, V111, P93
[4] Federer H., 2014, GEOMETRIC MEASURE TH
[5] CONVERGENCE GROUPS ARE FUCHSIAN-GROUPS
GABAI, D
[J]. ANNALS OF MATHEMATICS, 1992, 136 (03) : 447 - 510
[6] GEHRING FW, 1974, DISCONTINUOUS GROUPS, V79, P171
[7] Gersten S. M., 1992, Int. J. Algebra Comput, V02, P307
[8] Ghys, 1990, PROG MATH, V83
[9] GHYS E, 1990, SEMINAIRE BOURBAKI, V722, P1
[10] GOLDMAN WM, COMPLEX HYPERBOLIC G

← 1 2 3 →