Discreteness criteria and algebraic convergence theorem for subgroups in \(\text{PU}(1,n;\mathbb C)\).
type: Item
instance of: scholarly article
title: Discreteness criteria and algebraic convergence theorem for subgroups in \(\text{PU}(1,n;\mathbb C)\).
zbMATH Open document ID: 1139.30324
author: Cao Wensheng
author: X. Wang
published in: Proceedings of the Japan Academy. Series A
publication date: 2007-02-07T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1144158993
Mathematics Subject Classification ID: 30F40
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 20H10
zbMATH DE Number: 5123000
zbMATH Keywords: discreteness criterion
zbMATH Keywords: convergence theorem
zbMATH Keywords: subgroups in \(\text{PU}(1,n
zbMATH Keywords: \mathbb C)\)
MaRDI profile type: Publication
OpenAlex ID: W2084156550
cites work: Nondiscrete Groups of Hyperbolic Motions
cites work: Q4672720
cites work: Discreteness criteria for subgroups in complex hyperbolic space
cites work: On the Discreteness and Convergence in n -Dimensional Möbius Groups
cites work: Discrete Quasiconformal Groups I
cites work: Q4237093
cites work: Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space
cites work: On Discrete Groups of Mobius Transformations
cites work: ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS
cites work: Notes on elements of U(1,n;\({\mathbb{C}})\)
cites work: Notes on some classical series associated with discrete subgroups of \(U(1,n;\mathbb{C}{})\) on \(\partial{}B^ n\times{}\partial{}B^ n\times{}\partial{}B^ n\)
cites work: On Discrete Subgroups of PU(1,2;C ) with Heisenberg Translations
cites work: On discrete Möbius groups in all dimensions: A generalization of Jørgensen's inequality
cites work: On discrete isometry groups of negative curvature
cites work: On Ford isometric spheres in complex hyperbolic space
cites work: Uniform discreteness and Heisenberg translations
cites work: Discreteness criteria for subgroups in SL(2, C)
cites work: Discreteness criteria of Möbius groups of high dimensions and convergence theorems of Kleinian groups
cites work: Discreteness criteria for Möbius groups acting on \(\overline{\mathbb R}^n\)
cites work: Dense subgroups of \(n\)-dimensional Möbius groups
DOI: 10.3792/PJAA.82.49
description: scientific article; zbMATH DE number 5123000