DISCRETENESS CRITERIA FOR ISOMETRIC GROUPS ACTING ON COMPLEX HYPERBOLIC SPACES

DOI10.1017/S0004972709001245zbMath1201.30049MaRDI QIDQ3564913

Xi Fu

Publication date: 26 May 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

discreteness criterialoxodromic elementscomplex hyperbolic spacesnonelementary subgroupsdense subgroups

Mathematics Subject Classification ID

Geometric group theory (20F65) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

• Unnamed Item
• Discreteness criteria and algebraic convergence theorem for subgroups in \(\text{PU}(1,n;\mathbb C)\).
• On the discreteness criterion in \(SL (2, \mathbb{C})\)
• Uniform discreteness and Heisenberg translations
• Discrete subgroups of complex hyperbolic motions
• Dense subgroups of \(n\)-dimensional Möbius groups
• Discreteness criteria for subgroups in complex hyperbolic space
• Discreteness criteria for Möbius groups acting on \(\overline{\mathbb R}^n\)
• DISCRETENESS CRITERIA FOR MÖBIUS GROUPS ACTING ON II
• DISCRETE AND DENSE SUBGROUPS ACTING ON COMPLEX HYPERBOLIC SPACE
• On Discrete Groups of Mobius Transformations
• Discreteness of subgroups of $\mathrm{SL}(2,\boldsymbol{C})$ containing elliptic elements
• Discreteness criteria for isometric groups of real and complex hyperbolic spaces

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