A discrete criterion in \(\text{PU}(2,1)\) by use of elliptic elements.

DOI10.3792/PJAA.82.46zbMath1141.20307OpenAlexW2062314694MaRDI QIDQ863742

Shihai Yang, Ai-nong Fang

Publication date: 7 February 2007

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1144158992

zbMATH Keywords

discrete subgroupselliptic elementscomplex hyperbolic spaces

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Complex Lie groups, group actions on complex spaces (32M05) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (2)

Discreteness of subgroups of \(PU(1,n;\mathbb {C})\) ⋮ Elliptic elements in Möbius groups

Cites Work

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• Geometrical finiteness with variable negative curvature
• Discreteness and convergence of Möbius groups
• Group Actions of the 2-Sphere
• Nondiscrete Groups of Hyperbolic Motions
• Inequalities in Discrete Subgroups of PSL(2, R)
• SHIMIZU’S LEMMA FOR COMPLEX HYPERBOLIC SPACE
• On Discrete Groups of Mobius Transformations
• On the Discreteness and Convergence in n -Dimensional Möbius Groups

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