Timeline for Obstruction to Bach flat metric
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Nov 16, 2022 at 15:03 | history | bounty ended | CommunityBot | ||
| S Nov 16, 2022 at 15:03 | history | notice removed | CommunityBot | ||
| Nov 8, 2022 at 14:57 | comment | added | Jeffrey Case | Self-dual and anti-self dual metrics (and hence locally conformally flat) are also Bach flat. So, for example, the product metric on $S^1 \times S^3$ is Bach flat, even though there is no Einstein metric on $S^1 \times S^3$. | |
| S Nov 8, 2022 at 14:01 | history | bounty started | Paul | ||
| S Nov 8, 2022 at 14:01 | history | notice added | Paul | Draw attention | |
| Nov 6, 2022 at 16:09 | comment | added | Paul | I realize that I even don't know any example of Bach flat metric which is not conformal to an Einstein one? I guess it is hard to have a concrete example, but does it proved it exists? | |
| Nov 3, 2022 at 10:10 | comment | added | Ben McKay | A minor correction: the only obstruction known for an Einstein metric is in dimensions 0,1,2,3,4. | |
| Nov 2, 2022 at 23:23 | history | asked | Paul | CC BY-SA 4.0 |