Timeline for Existence of at least one compact orbit on the sphere
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 4, 2018 at 9:54 | vote | accept | guido giuliani | ||
| S Apr 1, 2018 at 12:47 | history | bounty ended | guido giuliani | ||
| S Apr 1, 2018 at 12:47 | history | notice removed | guido giuliani | ||
| Mar 31, 2018 at 15:42 | answer | added | Uri Bader | timeline score: 1 | |
| Mar 27, 2018 at 10:58 | comment | added | guido giuliani | @user120527: I've added some more clarifications in my post. Thank for the reference anyway. | |
| Mar 27, 2018 at 10:57 | history | edited | guido giuliani | CC BY-SA 3.0 |
added 521 characters in body
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| Mar 27, 2018 at 10:22 | comment | added | user120527 | The parenthesis around Zariski clearly indicate you do not assume algebraic, But do you assume the subgroup to be closed (a Lie subgroup ?) or path-connected ?. Apparently, there are nasty examples otherwise ( projecteuclid.org/download/pdf_1/euclid.ijm/1256063578 ) | |
| Mar 27, 2018 at 10:18 | comment | added | guido giuliani | @FedorPetrov Yes, indeed this is what I meant, thank you for the clarification. | |
| Mar 27, 2018 at 9:56 | comment | added | Fedor Petrov | I guess, for $A\in GL(d,\mathbb{R})$ we consider the action $x\mapsto Ax/\|Ax\|$ on the unit sphere. | |
| Mar 27, 2018 at 9:35 | comment | added | Leon Hendrian | I guess you could first retract to $SO(n)$ (by connectedness), but then the question would really only be about subgroups of $SO(n)$. | |
| Mar 27, 2018 at 8:44 | comment | added | Mark Grant | I'm a bit confused - how is an arbitrary subgroup of $GL(d,\mathbb{R})$ supposed to act on the unit sphere? | |
| S Mar 27, 2018 at 8:26 | history | bounty started | guido giuliani | ||
| S Mar 27, 2018 at 8:26 | history | notice added | guido giuliani | Draw attention | |
| Jan 31, 2018 at 14:37 | history | asked | guido giuliani | CC BY-SA 3.0 |