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A finiteness theorem for hyperbolic 3-manifolds

Ian Biringer Juan Souto
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Abstract

We prove that there are only finitely many closed hyperbolic 3-manifolds with injectivity radius and first eigenvalue of the Laplacian bounded below whose fundamental groups can be generated by a given number of elements. An application to arithmetic manifolds is also given.

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Ian Biringer Juan Souto. 2010-10-05. A finiteness theorem for hyperbolic 3-manifolds. https://doi.org/10.1112/jlms%2Fjdq106

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