Quasi-arithmeticity of lattices in \(\mathrm{PO}(n,1)\)

DOI10.1007/s10711-015-0092-6zbMath1334.22012arXiv1412.4961OpenAlexW2680084319MaRDI QIDQ2634848

Yanyan Li

Publication date: 10 February 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4961

zbMATH Keywords

hyperbolic manifoldsystoleMargulis-Vinberg lemmanonarithmetic lattices of Gromov and Piatetskii-Shapiroquasi-arithmetic lattice

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (4)

Finiteness of maximal geodesic submanifolds in hyperbolic hybrids ⋮ A new nonarithmetic lattice in \(\mathrm{PU}(3,1)\) ⋮ On volumes of quasi-arithmetic hyperbolic lattices ⋮ Nonarithmetic hyperbolic manifolds and trace rings

Cites Work

• Systoles of hyperbolic manifolds
• Arithmetic subgroups of algebraic groups
• Many examples of non-cocompact Fuchsian groups sitting in \(\mathrm{PSL}_2(\mathbb Q)\).
• Non-arithmetic groups in Lobachevsky spaces
• Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin
• Pants immersed in hyperbolic 3-manifolds
• On the compactness of arithmetically defined homogeneous spaces
• Introduction to Smooth Manifolds
• Foundations of Hyperbolic Manifolds
• Hyperplane sections in arithmetic hyperbolic manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quasi-arithmeticity of lattices in \(\mathrm{PO}(n,1)\)