On the collapsing along deformations of hyperbolic cone 3-manifolds

Autor(es)

Barreto, Alexandre Paiva

• Tipo de documento: Artigo Científico
• Fonte: KYOTO JOURNAL OF MATHEMATICS; v. 56, n. 3, p. 539-557, SEP 2016.
• Citações Web of Science: 0

Resumo

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 M be a closed, orientable, and irreducible 3-manifold, and let Sigma be an embedded link in M. For a collapsing sequence of hyperbolic cone structures with topological type (M, Sigma) and with uniformly bounded lengths of singularities, we prove that M is either Seifert fibered or a Sol manifold. (AU)

• Processo FAPESP: 14/23398-2 - Variedades e Orbifolds geométricos de dimensão 3
• Beneficiário: Alexandre Paiva Barreto
• Modalidade de apoio: Auxílio à Pesquisa - Regular