Timeline for A followup on non-homogeneous spaces.
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 26, 2012 at 6:07 | comment | added | Igor Rivin | I would defer to Vitali on the question of existence of "good housekeeping seal of approval"... | |
| Feb 26, 2012 at 4:56 | comment | added | Ryan Budney | I haven't read the Petersen-Wilhelm paper, but I also didn't think it would be contentious. | |
| Feb 26, 2012 at 4:50 | comment | added | Vitali Kapovitch | also note that compactness of $G$ can always be assumed if the manifold in question is closed and simply connected. If $M=G/H$ and $G$ is connected and simply connected then H must also be connected since $M$ is simply connected. Then let $\bar H$ be a maximal compact subgroup of $H$. It's contained in $\bar G$ - a maximal compact subgroup of G. Then $G/H$ is homotopy equivalent to $\bar G/\bar H$ which means that $\bar G$ acts on $M$ transitively. | |
| Feb 26, 2012 at 4:27 | comment | added | Vitali Kapovitch | I would be careful citing Petersen-Wilhelm example. It has not been published yet and I don't know anybody who has verified the proof. | |
| Feb 26, 2012 at 4:25 | history | edited | Ryan Budney | CC BY-SA 3.0 |
deleted 3 characters in body
|
| Feb 26, 2012 at 4:16 | history | answered | Ryan Budney | CC BY-SA 3.0 |