Timeline for Continuous family of constant scalar curvature metrics
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 14, 2014 at 20:48 | comment | added | BS. | Maybe you should check on the Yamabe problem. Basically, you are asking if there are non trivial critical levels of the Yamabe functional on conformal structures. Whereas minima of this functional are understood, I don't know if higher critical points are. | |
| Dec 14, 2014 at 12:45 | comment | added | Klaus Kröncke | I want to rule out rescalings. So you can add the condition that the volume is preserved (This is not nessecary if $\mathrm{scal}\neq0$ because fixing the scalar curvature has the same effect). | |
| Dec 12, 2014 at 17:18 | comment | added | Rbega | What about the family $(1+t)g_0$ on $\mathbb{T}^n$ where $g_0$ is some flat metric. | |
| Dec 12, 2014 at 17:13 | history | asked | Klaus Kröncke | CC BY-SA 3.0 |