ISOMETRIES AND DISCRETE ISOMETRY SUBGROUPS OF HYPERBOLIC SPACES

DOI10.1017/S0017089508004503zbMath1151.30342OpenAlexW1987257252MaRDI QIDQ5302627

Xi Fu, Xian Tao Wang

Publication date: 8 January 2009

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

Full work available at URL: https://doi.org/10.1017/s0017089508004503

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Discrete subgroups of Lie groups (22E40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

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Cites Work

• Algebraic convergence theorems of \(n\)-dimensional Kleinian groups.
• Differentiability and rigidity of Möbius groups
• Möbius transformations in several dimensions
• Discreteness criteria for Möbius groups acting on \(\overline{\mathbb R}^n\)
• A theorem on discrete, torsion free subgroups of Isom \(\mathbf H^n\)
• Lost Theorems of Geometry
• On the fixed points of Möbius transformations in R^n
• Discrete Quasiconformal Groups I
• Discreteness criteria of Möbius groups of high dimensions and convergence theorems of Kleinian groups

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