A locally hyperbolic 3-manifold that is not hyperbolic

Cremaschi, Tommaso

doi:10.1090/proc/14176

A locally hyperbolic 3-manifold that is not hyperbolic
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by Tommaso Cremaschi

Proc. Amer. Math. Soc. 146 (2018), 5475-5483

DOI: https://doi.org/10.1090/proc/14176

Published electronically: September 4, 2018

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Abstract:

We construct a locally hyperbolic 3-manifold $M_\infty$ such that $\pi _1(M_\infty )$ has no divisible subgroup. We then show that $M_\infty$ is not homeomorphic to any complete hyperbolic manifold. This answers a question of Agol.

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