Hyperbolic manifolds of small volume
Mikhail Belolipetsky
10 EPF Lausanne 22460-320 Rio de Janeiro Bhatatiment MA Station 8 Brazil CH-1015 LausanneVincent Emery
2460-320 Rio de Janeiro Bhatatiment MA Station 8 Brazil CH-1015 Lausanne
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Abstract
We conjecture that for every dimension there exists a noncompact hyperbolic -manifold whose volume is smaller than the volume of any compact hyperbolic -manifold. For dimensions and this conjecture follows from the known results. In this paper we show that the conjecture is true for arithmetic hyperbolic -manifolds of dimension .
Cite this article
Mikhail Belolipetsky, Vincent Emery, Hyperbolic manifolds of small volume. Doc. Math. 19 (2014), pp. 801–814
DOI 10.4171/DM/464