Timeline for Isometry group of a compact hyperbolic surface
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 30, 2015 at 13:43 | vote | accept | user82102 | ||
| Oct 30, 2015 at 11:16 | answer | added | Robert Bryant | timeline score: 13 | |
| Oct 30, 2015 at 2:38 | answer | added | Alexandre Eremenko | timeline score: 8 | |
| Oct 29, 2015 at 19:29 | answer | added | Ian Agol | timeline score: 23 | |
| Oct 29, 2015 at 19:07 | comment | added | user82102 | @IgorRivin In the latter situation, it would also be nice to get an insight into what obstructs the generic hyperbolic metric from having any symmetry. | |
| Oct 29, 2015 at 19:04 | comment | added | user82102 | @IgorRivin To be honest, I am not entirely sure, because I am merely curious and don't have a very specific reason for asking this. Vaguely, I am looking for some kind of heuristic which says that "many" hyperbolic metrics are highly symmetric, or may be something entirely opposite: the hyperbolic metrics that have any sort of non-trivial symmetry have measure zero. | |
| Oct 29, 2015 at 18:42 | comment | added | Igor Rivin | What kind of conditions do you want? (that is, in terms of what invariants)? | |
| Oct 29, 2015 at 17:38 | comment | added | ThiKu | Giving conditions in terms of something like Fenchel-Nielsen coordinates looks like a difficult problem. If you just look for some example of asymmetric surfaces, then you find it in: Leon Greenberg: "Maximal groups and signatures." Discontinuous groups and Riemann surfaces (Proc. Conf., Univ. Maryland, College Park, Md., 1973), pp. 207–226. Ann. of Math. Studies, No. 79, Princeton Univ. Press, Princeton, N.J., 1974. | |
| Oct 29, 2015 at 17:17 | review | First posts | |||
| Oct 29, 2015 at 17:40 | |||||
| Oct 29, 2015 at 17:16 | history | asked | user82102 | CC BY-SA 3.0 |