Kyoto Journal of Mathematics
- Kyoto J. Math.
- Volume 56, Number 3 (2016), 539-557.
On the collapsing along deformations of hyperbolic cone -manifolds
This article focuses on deformations of hyperbolic cone structures under the assumption that the length of the singularity remains uniformly bounded during the deformation. Let be a closed, orientable, and irreducible -manifold, and let be an embedded link in . For a collapsing sequence of hyperbolic cone structures with topological type and with uniformly bounded lengths of singularities, we prove that is either Seifert fibered or a manifold.
Kyoto J. Math., Volume 56, Number 3 (2016), 539-557.
Received: 10 October 2014
Revised: 16 July 2015
Accepted: 30 July 2015
First available in Project Euclid: 22 August 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57M50: Geometric structures on low-dimensional manifolds
Barreto, Alexandre Paiva. On the collapsing along deformations of hyperbolic cone $3$ -manifolds. Kyoto J. Math. 56 (2016), no. 3, 539--557. doi:10.1215/21562261-3600166. https://projecteuclid.org/euclid.kjm/1471872280