The smallest hyperbolic 6-manifolds

Details The smallest hyperbolic 6-manifolds The smallest hyperbolic 6-manifolds

2004-10-21

arxiv.org/abs/math/0410474v2

Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 40-46

Mathematics

Geometric Topology

More details added in the last section. To appear in Electronic Research Announcements of the AMS

Scientific paper

By gluing together copies of an all-right angled Coxeter polytope a number of
open hyperbolic 6-manifolds with Euler characteristic -1 are constructed. They
are the first known examples of hyperbolic 6-manifolds having the smallest
possible volume.

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