Timeline for Existence of orientable finite volume complete cusp hyperbolic 3-manifolds $\mathbb{H}^3 / \Gamma$, where $\Gamma$ has no parabolic generators?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 14 at 20:36 | vote | accept | T ghosh | ||
| Oct 14 at 19:56 | comment | added | Sam Nead | If $a$ and $b$ are parabolic, commute, and generate a Kleinian group, then the quotient $\mathbb{H}/\Gamma$ has infinite volume. | |
| Oct 14 at 17:49 | history | edited | Moishe Kohan | CC BY-SA 4.0 |
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| Oct 14 at 17:08 | comment | added | T ghosh | I think you mean supose $\Gamma=<a,b>$ is a Kleinian group, where $a,b$ both are parabolic elements elements, if $a,b$ are not commute each other then I can always find a loxodromic element $g$ say, so, $\Gamma=<g,g.a,g.b>$, therefore $\Gamma$ is generated by loxdromic elements. Is it? | |
| Oct 14 at 16:03 | history | answered | Sam Nead | CC BY-SA 4.0 |