A locally hyperbolic 3-manifold that is not homotopy equivalent to any hyperbolic 3-manifold

Abstract

We construct a locally hyperbolic 3-manifold $M$ such that ${\pi }_1(M)$ has no divisible subgroups. We then show that $M$ is not homotopy equivalent to any complete hyperbolic manifold.

arXiv admin note: text overlap with arXiv:1711.11568