Right-angled Coxeter polytopes, hyperbolic 6-manifolds, and a problem of Siegel

Details Right-angled Coxeter polytopes, hyperbolic 6-manifolds, and a problem of Siegel Right-angled Coxeter polytopes, hyperbolic 6-manifolds, and a problem of Siegel

2010-09-16

arxiv.org/abs/1009.3231v1

Mathematics

Geometric Topology

32 pages

Scientific paper

By gluing together the sides of eight copies of an all-right angled
hyperbolic 6-dimensional polytope, two orientable hyperbolic 6-manifolds with
Euler characteristic -1 are constructed. They are the first known examples of
orientable hyperbolic 6-manifolds having the smallest possible volume.

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