Timeline for Action of a Lie group with finitely many orbits
Current License: CC BY-SA 3.0
16 events
| when toggle format | what | by | license | comment | |
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| May 29, 2014 at 13:10 | answer | added | Claudio Gorodski | timeline score: 1 | |
| May 28, 2014 at 16:43 | answer | added | Peter Michor | timeline score: -1 | |
| May 28, 2014 at 14:18 | answer | added | Misha Verbitsky | timeline score: 0 | |
| S May 28, 2014 at 9:26 | history | suggested | asv | CC BY-SA 3.0 |
Added an update following Yves Cornulier's answer.
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| May 28, 2014 at 9:22 | review | Suggested edits | |||
| S May 28, 2014 at 9:26 | |||||
| May 27, 2014 at 20:09 | answer | added | YCor | timeline score: 5 | |
| S May 27, 2014 at 16:34 | history | suggested | asv | CC BY-SA 3.0 |
Minor corrections.
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| May 27, 2014 at 16:28 | comment | added | asv | I meant the former case of finitely many orbits, each locally closed. Thanks. Corrected. | |
| May 27, 2014 at 16:25 | review | Suggested edits | |||
| S May 27, 2014 at 16:34 | |||||
| S May 27, 2014 at 16:20 | history | suggested | asv | CC BY-SA 3.0 |
More precise statement following the Robert Bryant's comment.
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| May 27, 2014 at 16:17 | review | Suggested edits | |||
| S May 27, 2014 at 16:20 | |||||
| May 27, 2014 at 15:52 | comment | added | Robert Bryant | Your question is not clear. Are you assuming that there are only finitely many orbits and that each is locally closed or that only finitely many of the orbits are locally closed. If the latter, then the answer is 'No, it is not true, even in the analytic case.' For an example, let $G =\mathbb{R}\subset\mathrm{SO}(4)$ be a connected, noncompact, $1$-parameter subgroup and let $M=S^3\subset\mathbb{R}^4$. With the obvious action of $G$ on $M$, there are only two locally closed orbits in this case, but the closure of the generic orbit is a $2$-torus. | |
| May 27, 2014 at 11:17 | history | edited | user51305 | CC BY-SA 3.0 |
edited title
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| May 27, 2014 at 10:19 | review | First posts | |||
| May 27, 2014 at 10:20 | |||||
| May 27, 2014 at 10:13 | history | edited | user51305 | CC BY-SA 3.0 |
added 99 characters in body
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| May 27, 2014 at 10:01 | history | asked | user51305 | CC BY-SA 3.0 |