Timeline for It is well-known that hyperbolic space is delta-hyperbolic, but what is delta?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Apr 28, 2022 at 19:16 | comment | added | Dinisaur | ok i just realised that the difinition of hyperbolicity used here is not the $4$-points definition for which the constant is $\operatorname{log}(2)$, but can the same reasoning still apply? are there precise relations between the constants of the different definitions or are these equivalent only under upper and lower linear bounds? | |
| Apr 28, 2022 at 19:07 | comment | added | Dinisaur | since a geodesic triangle is always contained in a totally geodesic plane why can't we deduce immediately that the $\delta$-hyperbolicity constant of $\mathbb{H}^2$ is optimal, i.e. $\operatorname{log}(2)$? | |
| May 5, 2010 at 13:49 | vote | accept | Paul Siegel | ||
| Apr 30, 2010 at 4:06 | comment | added | Sam Nead | There is a Mobius transformation turning your proof into my proof. Of course, Mobius transformations have inverses... :) | |
| Apr 30, 2010 at 3:56 | history | edited | S. Carnahan♦ | CC BY-SA 2.5 |
correction; added 35 characters in body; added 55 characters in body
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| Apr 30, 2010 at 3:17 | history | answered | S. Carnahan♦ | CC BY-SA 2.5 |