Timeline for Kahler structure on holomorphic principal bundles
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 11, 2014 at 17:13 | comment | added | user21574 | compact coadjoint orbits? | |
| Apr 10, 2014 at 15:37 | answer | added | Misha Verbitsky | timeline score: 1 | |
| Apr 5, 2014 at 9:42 | history | edited | Ben McKay | CC BY-SA 3.0 |
fomatting, spelling
|
| Apr 3, 2014 at 0:05 | comment | added | Alex Suciu | What's a "principle" bundle? | |
| Apr 2, 2014 at 20:10 | comment | added | Ben McKay | A compact complex Lie group is an extension of a finite group by a complex torus. | |
| Apr 2, 2014 at 18:29 | comment | added | Gunnar Þór Magnússon | As Alex says, a compact complex Lie group is a complex torus. A result of Atyiah says that if the total space of a torus bundle over a simply connected Kahler manifold is Kahler, then the bundle is trivial. Looking at such bundles is actually one of the main methods of constructing non-Kahler manifolds. | |
| Apr 2, 2014 at 17:56 | review | First posts | |||
| Apr 2, 2014 at 17:57 | |||||
| Apr 2, 2014 at 17:48 | comment | added | Alex Degtyarev | Are there many compact complex Lie groups? Aren't they all tori? If $G$ is K\"ahler itself, what about the trivial bundle $M\times G\to M$: it is holomorphic and admits a K\"ahler metric. | |
| Apr 2, 2014 at 17:34 | history | asked | user49057 | CC BY-SA 3.0 |