Geodesic planes in the convex core of an acylindrical 3-manifold

DOI10.1215/00127094-2021-0030OpenAlexW2786659831MaRDI QIDQ2130502

Amir Mohammadi, Hee Oh, Curtis T. McMullen

Publication date: 25 April 2022

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

Full work available at URL: https://arxiv.org/abs/1802.03853

zbMATH Keywords

hyperbolic manifoldstopological rigidityacylindrical

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) General geometric structures on low-dimensional manifolds (57M50) Homogeneous flows (37A17)

Related Items (5)

Isolations of geodesic planes in the frame bundle of a hyperbolic 3-manifold ⋮ Elementary planes in the Apollonian orbifold ⋮ Torus counting and self-joinings of Kleinian groups ⋮ Topological proof of Benoist-Quint's orbit closure theorem for \(\mathrm{SO}(d, 1) \) ⋮ Construction of Acylindrical Hyperbolic 3-Manifolds with Quasifuchsian Boundary

Cites Work

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• Raghunathan's topological conjecture and distributions of unipotent flows
• Hyperbolic structures on 3-manifolds. I: Deformation of acylindrical manifolds
• Geodesic planes in hyperbolic 3-manifolds
• Geodesic flows on negatively curved manifolds. I
• Topological characterization of the Sierpiński curve
• Hyperbolic Manifolds

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