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Right-angled Coxeter polytopes, hyperbolic six-manifolds and a problem of Siegel
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| Journal | Mathematische Annalen |
|---|---|
| Date | E-pub ahead of print - 16 Nov 2011 |
| Date | Published (current) - Nov 2012 |
| Issue number | 3 |
| Volume | 354 |
| Number of pages | 32 |
| Pages (from-to) | 871-905 |
| Early online date | 16/11/11 |
| Original language | English |
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.
- Algebra
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