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From the same journal

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

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Publication details

JournalMathematische Annalen
DateE-pub ahead of print - 16 Nov 2011
DatePublished (current) - Nov 2012
Issue number3
Volume354
Number of pages32
Pages (from-to)871-905
Early online date16/11/11
Original languageEnglish

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.

    Research areas

  • Algebra

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