Arithmeticity of hyperbolic -manifolds containing infinitely many totally geodesic surfaces

DOI10.1017/etds.2021.21zbMath1483.57017arXiv1902.07267OpenAlexW3157700092WikidataQ114118884 ScholiaQ114118884MaRDI QIDQ5027316

Amir Mohammadi, Gregory A. Margulis

Publication date: 4 February 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07267

zbMATH Keywords

hyperbolic 3-manifoldarithmetic groupgeodesic planesuperrigidity

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Homogeneous flows (37A17) Hyperbolic 3-manifolds (57K32)

Related Items (8)

Isolations of geodesic planes in the frame bundle of a hyperbolic 3-manifold ⋮ Benjamini-Schramm convergence of periodic orbits ⋮ Totally geodesic surfaces in twist knot complements ⋮ Counting minimal surfaces in negatively curved 3-manifolds ⋮ Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds ⋮ Geodesic surfaces in the complement of knots with small crossing number ⋮ Special subvarieties of non-arithmetic ball quotients and Hodge theory ⋮ Arithmeticity of hyperbolic -manifolds containing infinitely many totally geodesic surfaces

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