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

Brent Everitt, John Ratcliffe, Steven Tschantz

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)871-905
Number of pages32
JournalMathematische Annalen
Issue number3
Early online date16 Nov 2011
Publication statusPublished - Nov 2012


  • Algebra

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