Timeline for Lie group action with no slice
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 14, 2013 at 18:53 | comment | added | YCor | @Dick You're right, I erased by previous comment. I had a misconception of the notion, which is definitely global. | |
| Jan 13, 2013 at 19:56 | comment | added | Dick Palais | @Yves Cormulier I don't think that's so Yves. If it were then even a compact group action wouldn't have a slice at an isolated fixed point p, whereas in fact an invariant neighborhood of p is a slice at p in that case. | |
| Jan 13, 2013 at 18:55 | vote | accept | Yar | ||
| Jan 13, 2013 at 17:03 | comment | added | Ben Webster♦ | The action of $\mathbb{R}$ on $\mathbb{R}^2$ by $(x,y)\mapsto (x,y+ax)$ is also a classic. The y-axis is fixed, but has no slice. | |
| Jan 13, 2013 at 15:06 | history | edited | Dick Palais | CC BY-SA 3.0 |
added 22 characters in body
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| Jan 13, 2013 at 15:05 | comment | added | Dick Palais | After thinking about my answer a bit I realized that an even simpler example is the action of the group Z of integers on the circle generated by rotation through an irrational angle. | |
| Jan 13, 2013 at 14:45 | history | answered | Dick Palais | CC BY-SA 3.0 |