Timeline for Dirichlet polyhedra for hyperbolic manifolds
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 14, 2015 at 22:49 | comment | added | j0equ1nn | Note that the Dirichlet-Voronoi polyhedron you describe (more commonly called the Dirichlet domain) is only a fundamental domain when $\mathrm{Stab}_{\Gamma}(x)=\{1\}$. This is not guaranteed for an arbitrary discrete group of isometries $\Gamma$ of $H$. If $M$ is a manifold though, as suggested by your title, $\Gamma$ will be torsion-free in which case the condition is guaranteed. | |
| Sep 27, 2014 at 18:04 | vote | accept | Misha Verbitsky | ||
| Sep 26, 2014 at 16:51 | answer | added | Misha | timeline score: 8 | |
| Sep 26, 2014 at 14:16 | history | asked | Misha Verbitsky | CC BY-SA 3.0 |