| Popis: |
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 $\mathrm{Sol}$ manifold. |
