A finiteness theorem for hyperbolic 3-manifolds

Details A finiteness theorem for hyperbolic 3-manifolds A finiteness theorem for hyperbolic 3-manifolds

2009-01-03

arxiv.org/abs/0901.0300v3

Mathematics

Geometric Topology

20 pages, to appear in Journal of the London Mathematical Society

Scientific paper

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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