Timeline for Projectively flat connection
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 10, 2021 at 6:19 | vote | accept | Dimitri Zvonkine | ||
| Mar 3, 2021 at 21:26 | answer | added | Nicolast | timeline score: 1 | |
| Mar 2, 2021 at 6:24 | comment | added | Dimitri Zvonkine | Nicolas, I found an example of a vector bundle with vanishing Chern classes, that lacks a flat connection. It is not obvious to me that it also lacks a projectively flat connection. But maybe it's a lead. | |
| Mar 1, 2021 at 23:11 | comment | added | Nicolast | Hi Dimitri ! Isn't a particular case of your question asking whether a bundle with vanishing Chern classes admits a flat connection ? | |
| Mar 1, 2021 at 20:42 | comment | added | Ben McKay | It seems unlikely to me, because the existence of a projectively flat connection is equivalent to the traceless part of the Atiyah class vanishing, and that is more complicated than the Chern character, which can be computed from it up to the first Chen class. | |
| Mar 1, 2021 at 20:41 | review | First posts | |||
| Mar 1, 2021 at 21:26 | |||||
| Mar 1, 2021 at 20:37 | history | asked | Dimitri Zvonkine | CC BY-SA 4.0 |