Timeline for What is known about Lie groups with (strictly) positive curvature?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 29, 2016 at 22:14 | vote | accept | melomm | ||
| Nov 29, 2016 at 22:17 | |||||
| Nov 29, 2015 at 16:47 | comment | added | Igor Rivin | @YCor Yes, that is correct :) | |
| Nov 29, 2015 at 16:27 | comment | added | melomm | @YCor thanks you formulated better my question. I'll make a edition in my question and put your version of the question. | |
| Nov 29, 2015 at 0:13 | comment | added | YCor | Since there's no conjecture in the question, I'm wondering what you call "your conjecture"... after several minutes I finally guessed that you mean that the only positively curved Lie groups (of dimension $\ge 2$ and with left-invariant Riemannian metric) are $\mathrm{SU}(2)$ and $\mathrm{SO}(3)$? | |
| Nov 28, 2015 at 19:26 | comment | added | Igor Rivin | @user2304 The theorem is for left-invariant metrics - I expect that it might be hard in general (in particular, $SU(2)\times SU(2)$ is pretty close to the Hopf conjecture...) | |
| Nov 28, 2015 at 19:23 | comment | added | melomm | Do you know if it is true for general metrics or only for left-invariants? Or this question is so hard like Hopf's conjecture? | |
| Nov 28, 2015 at 19:00 | history | answered | Igor Rivin | CC BY-SA 3.0 |