Test maps and discrete groups in SL\((2,C)\)

zbMath1178.30024MaRDI QIDQ2389190

Shihai Yang

Publication date: 15 July 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1245415676

zbMATH Keywords

Möbius transformationsdiscrete subgroups

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Quasiconformal mappings in the complex plane (30C62)

Related Items (5)

Discreteness criteria based on a test map in \(\mathrm{PU}(n, 1)\) ⋮ Discreteness criterion in \(\mathrm{SL}(2,\mathbb{C})\) by a test map ⋮ Discreteness of hyperbolic isometries by test maps ⋮ TEST MAP AND DISCRETENESS IN SL(2, ℍ) ⋮ Discreteness and convergence of complex hyperbolic isometry groups

Cites Work

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• On the discreteness criterion in \(SL (2, \mathbb{C})\)
• Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups
• Discreteness and convergence of Möbius groups
• Inequalities in Discrete Subgroups of PSL(2, R)
• Minimal generating systems of a subgroup of SL(2, ℂ)
• On Discrete Groups of Mobius Transformations
• Discreteness of subgroups of $\mathrm{SL}(2,\boldsymbol{C})$ containing elliptic elements

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