Geodesic
The smallest hyperbolic 6-manifolds
Everitt, Brent1 ; Ratcliffe, John2 ; Tschantz, Steven2
1 Department of Mathematics, University of York, York YO10 5DD, England
2 Department of Mathematics, Vanderbilt University, Nashville, TN 37240
Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 40-46 Cet article a éte moissonné depuis la source American Mathematical Society

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By gluing together copies of an all right-angled Coxeter polytope a number of open hyperbolic $6$-manifolds with Euler characteristic $-1$ are constructed. They are the first known examples of hyperbolic $6$-manifolds having the smallest possible volume.
DOI : 10.1090/S1079-6762-05-00145-9

Everitt, Brent 1 ; Ratcliffe, John 2 ; Tschantz, Steven 2

1 Department of Mathematics, University of York, York YO10 5DD, England
2 Department of Mathematics, Vanderbilt University, Nashville, TN 37240 
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Everitt, Brent; Ratcliffe, John; Tschantz, Steven. The smallest hyperbolic 6-manifolds. Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 40-46. doi: 10.1090/S1079-6762-05-00145-9

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