Infinitesimal rigidity for cubulated manifolds

DOI10.1007/s10711-022-00765-9OpenAlexW4317105070MaRDI QIDQ2681872

Ludovico Battista

Publication date: 31 January 2023

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

Full work available at URL: https://arxiv.org/abs/2112.10696

zbMATH Keywords

rigidityhyperbolic geometryinfinitesimal rigiditygeometrically infinite hyperbolic manifolds

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) General topology of 4-manifolds (57K40) Low-dimensional manifolds of specific dimension 5 or higher (57K50)

Uses Software

• Matlab

Cites Work

• Morse theory and finiteness properties of groups
• Three-dimensional orbifolds and cone-manifolds
• A note on local rigidity
• On right-angled reflection groups in hyperbolic spaces.
• On the density of geometrically finite Kleinian groups.
• Non-realizability and ending laminations: proof of the density conjecture
• Projective structures with degenerate holonomy and the Bers density conjecture
• Remarks on the cohomology of groups
• Hyperbolic 5-manifolds that fiber over \(S^1\)
• Hyperbolic 4‐manifolds, colourings and mutations
• Local rigidity of hyperbolic manifolds with geodesic boundary
• VIRTUALLY FIBERING RIGHT-ANGLED COXETER GROUPS
• Cusps of hyperbolic 4‐manifolds and rational homology spheres
• Hyperbolic 4-manifolds with perfect circle-valued Morse functions

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