Discreteness of ultra‐parallel complex hyperbolic triangle groups of type [m1,m2,0]

DOI10.1112/jlms.12227zbMath1428.22013arXiv1807.03211OpenAlexW3098471783MaRDI QIDQ4973669

Anna Pratoussevitch, Andrew Monaghan, John R. Parker

Publication date: 28 November 2019

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

Full work available at URL: https://arxiv.org/abs/1807.03211

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40)

Related Items (3)

Hausdorff dimension and complex hyperbolic Schottky groups: a simplification ⋮ Complex hyperbolic triangle groups of type [𝑚,𝑚,0;3,3,2] ⋮ Free groups generated by two parabolic maps

Cites Work

• Uniform discreteness and Heisenberg translations
• Jørgensen's inequality for complex hyperbolic space.
• Notes on complex hyperbolic triangle groups of type (\(m, n, \infty\))
• Ideal triangle groups, dented tori, and numerical analysis.
• Traces in complex hyperbolic triangle groups
• Two-generator groups acting on the complex hyperbolic plane
• SHIMIZU’S LEMMA FOR COMPLEX HYPERBOLIC SPACE
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