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

Abstract

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.

32 pages

Cited by in corpus (3)

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