Timeline for Einstein metrics on compact nilmanifolds
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 24, 2017 at 4:54 | comment | added | Min-Oo | Thanks AP :-) These compact non-abelian nilmanifolds do not admit any metric with non-negative Ricci curvature, so the Einstein metric, if it exists, must have negative Einstein constant. Even for the torus it's still not known (as far as I am aware of) whether there is an Einstein metric with negative constant. | |
| Aug 23, 2017 at 19:37 | comment | added | Dietrich Burde | At least, non-abelian nilpotent Lie groups do not admit left-invariant Einstein metrics (Milnor). | |
| Aug 23, 2017 at 16:06 | review | First posts | |||
| Aug 23, 2017 at 16:07 | |||||
| Aug 23, 2017 at 16:02 | history | asked | Min-Oo | CC BY-SA 3.0 |