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

Tommaso Cremaschi

Published 2018-12-06Version 1

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.