Construction and recognition of hyperbolic 3-manifolds with geodesic boundary

DOI10.1090/S0002-9947-03-03378-6zbMath1052.57018arXivmath/0109012OpenAlexW1989055270WikidataQ125303423 ScholiaQ125303423MaRDI QIDQ4813805

Roberto Frigerio, Carlo Petronio

Publication date: 13 August 2004

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

Full work available at URL: https://arxiv.org/abs/math/0109012

zbMATH Keywords

triangulationhyperbolic \(3\)-manifoldKojima decomposition

Mathematics Subject Classification ID

Related Items (13)

AN INFINITE FAMILY OF HYPERBOLIC GRAPH COMPLEMENTS IN S³ ⋮ Small Hyperbolic 3-Manifolds With Geodesic Boundary ⋮ Combinatorial Ricci flow on compact 3-manifolds with boundary ⋮ Combinatorial Ricci flows and the hyperbolization of a class of compact 3-manifolds ⋮ Traversing three-manifold triangulations and spines ⋮ \(6j\)-symbols, hyperbolic structures and the volume conjecture ⋮ A quantitative version of a theorem by Jungreis ⋮ Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group ⋮ On deformations of hyperbolic 3-manifolds with geodesic boundary ⋮ A combinatorial curvature flow for compact 3-manifolds with boundary ⋮ A calculus for ideal triangulations of three‐manifolds with embedded arcs ⋮ Verified computations for closed hyperbolic 3‐manifolds ⋮ Hyperbolic 3-manifolds with geodesic boundary: enumeration and volume calculation

Uses Software

• SnapPea

Cites Work

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• Convex hulls and isometries of cusped hyperbolic 3-manifolds
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• Euclidean decompositions of noncompact hyperbolic manifolds
• Involutions of sufficiently large 3-manifolds
• Lectures on hyperbolic geometry
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• The generalized tilt formula
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• A census of cusped hyperbolic 3-manifolds
• Small Hyperbolic 3-Manifolds With Geodesic Boundary
• A calculus for ideal triangulations of three‐manifolds with embedded arcs

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