On the collapsing along deformations of hyperbolic cone 3-manifolds

DOI10.1215/21562261-3600166zbMath1354.57024OpenAlexW2517514145MaRDI QIDQ318154

Alexandre Paiva Barreto

Publication date: 4 October 2016

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1471872280

zbMATH Keywords

collapsing sequencesdeformations of structureshyperbolic cone manifolds

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Cites Work

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• Geometrization of 3-dimensional orbifolds
• Universal bounds for hyperbolic Dehn surgery
• Orders and actions of branched coverings of hyperbolic links
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds
• Collapsing three-manifolds under a lower curvature bound.
• On strong convergence of hyperbolic 3-cone-manifolds whose singular sets have uniformly thick tubular neighborhoods
• Deformation of three-dimensional hyperbolic cone structures: the noncollapsing case
• Deformations of hyperbolic \(3\)-cone-manifolds

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