Timeline for group actions in dimension 2 and 3
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Jan 22, 2017 at 1:21 | history | suggested | Konstantinos Kanakoglou | CC BY-SA 3.0 |
tex delimiters added, format improvements
|
| Jan 22, 2017 at 1:02 | review | Suggested edits | |||
| S Jan 22, 2017 at 1:21 | |||||
| Jan 22, 2017 at 0:47 | comment | added | YCor | @IgorRivin indeed but certainly this is senseless and is a mistake in Question 1... at least "acting" should be specified: acting by $C^k$ transformations is a necessary condition to be $C^k$-conjugate to an isometric action. Same problem in (2). And for various $k$ (integer, $\infty$, $\omega$), this are a priori unrelated properties (I don't know if they are true). | |
| Jan 21, 2017 at 23:39 | answer | added | Ian Agol | timeline score: 7 | |
| Jan 21, 2017 at 22:10 | comment | added | Igor Rivin | @YCor I don't think this addresses the question of differentiable conjugacy. | |
| Jan 21, 2017 at 18:50 | comment | added | YCor | In French, there is the following article by Kolev (2006) in Ens. Math.: e-periodica.ch/cntmng?pid=ens-001:2006:52::23. He attributes the result (every compact subgroup of $Homeo(S^2)$ is conjugate to a subgroup of $O(3)$) to Kerékjártó, 1941 (also in French), based on much earlier results of the same author (1934) which Kolev mentioned as "know to be confusing". He also says that the most difficult case in Kerékjártó's paper is the transitive case, which turns out to be the easiest using modern Lie group theory. | |
| Jan 21, 2017 at 18:44 | history | edited | YCor |
edited tags
|
|
| S Jan 21, 2017 at 17:57 | history | suggested | Ivan Izmestiev |
Added the tag "reference-request".
|
|
| Jan 21, 2017 at 17:54 | comment | added | alvarezpaiva | According to the paper "This fairly old result combines the work of several mathematicians, including H. Poincaré and L. E. J. Brouwer (see Edmonds [37])." | |
| Jan 21, 2017 at 17:54 | comment | added | alvarezpaiva | Hi Wolfgang. For (1) see Theorem 2.0 in projecteuclid.org/download/pdf_1/euclid.bams/1183552167 | |
| Jan 21, 2017 at 17:50 | answer | added | Igor Rivin | timeline score: 7 | |
| Jan 21, 2017 at 17:46 | review | Suggested edits | |||
| S Jan 21, 2017 at 17:57 | |||||
| Jan 21, 2017 at 17:44 | review | First posts | |||
| Jan 21, 2017 at 17:46 | |||||
| Jan 21, 2017 at 17:41 | history | asked | wolfgang ziller | CC BY-SA 3.0 |