ALGEBRAIC CONVERGENCE THEOREMS OF COMPLEX KLEINIAN GROUPS

DOI10.1017/S0017089512000304zbMATH Open1262.30041MaRDI QIDQ4899925

Wensheng Cao

Publication date: 10 January 2013

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Kleinian groupsalgebraic convergence

Mathematics Subject Classification ID

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

Cites Work

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• Discreteness criteria and algebraic convergence theorem for subgroups in \(\text{PU}(1,n;\mathbb C)\).
• On the limit set of discrete subgroups of \(\text{PU}(2,1)\)
• On discrete Möbius groups in all dimensions: A generalization of Jørgensen's inequality
• Algebraic convergence theorems of \(n\)-dimensional Kleinian groups.
• Discreteness criteria for subgroups in complex hyperbolic space
• DISCRETE AND DENSE SUBGROUPS ACTING ON COMPLEX HYPERBOLIC SPACE
• ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS
• Discreteness criteria of Möbius groups of high dimensions and convergence theorems of Kleinian groups

Related Items (7)

Algebraic Convergence of Schottky Groups ⋮ Algebraic and geometric convergence of Kleinian groups. ⋮ Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups ⋮ ON THE ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS IN ALL DIMENSIONS ⋮ Convergence of Aluthge iteration in semisimple Lie groups ⋮ Discreteness and convergence of complex hyperbolic isometry groups ⋮ Title not available (Why is that?)

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