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

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- by Tommaso Cremaschi
- Conform. Geom. Dyn.
**24**(2020), 118-130 - DOI: https://doi.org/10.1090/ecgd/350
- Published electronically: June 17, 2020
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## 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.## References

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## Bibliographic Information

**Tommaso Cremaschi**- Affiliation: Department of Mathematics, University of Southern California, 140 Commonwealth Avenue, Chestnut Hill, Massachusetts 02467
- MR Author ID: 1287432
- Email: cremasch@usc.edu
- Received by editor(s): December 24, 2018
- Received by editor(s) in revised form: November 12, 2019
- Published electronically: June 17, 2020
- Additional Notes: The author gratefully acknowledges support from the U.S. National Science Foundation grant DMS-1564410: Geometric Structures on Higher Teichmüller Spaces.
- © Copyright 2020 American Mathematical Society
- Journal: Conform. Geom. Dyn.
**24**(2020), 118-130 - DOI: https://doi.org/10.1090/ecgd/350
- MathSciNet review: 4127908