Discreteness of subgroups of \(PU(1,n;\mathbb {C})\)

DOI10.3792/PJAA.84.78zbMath1167.30024OpenAlexW2082132848MaRDI QIDQ952019

Hua Wang, Yue Ping Jiang, Bao-Hua Xie

Publication date: 5 November 2008

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1212500760

zbMATH Keywords

Kleinian groupdiscrete group\mathbb{C})\)\(PU(1,ndense groupelliptic transformationregular elliptic elements

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (2)

Discreteness criteria based on a test map in \(\mathrm{PU}(n, 1)\) ⋮ Discreteness of hyperbolic isometries by test maps

Cites Work

• Unnamed Item
• A discrete criterion in \(\text{PU}(2,1)\) by use of elliptic elements.
• Notes on elements of U(1,n;\({\mathbb{C}})\)
• On Discrete Subgroups of PU(1,2;C ) with Heisenberg Translations
• Nondiscrete Groups of Hyperbolic Motions
• Inequalities in Discrete Subgroups of PSL(2, R)
• ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS

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