Timeline for Are there examples of Einstein manifolds with unbounded curvature?
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Aug 14, 2021 at 19:32 | vote | accept | Matheus Andrade | ||
Aug 14, 2021 at 9:59 | answer | added | Robert Bryant | timeline score: 12 | |
Aug 13, 2021 at 23:36 | comment | added | Matheus Andrade | @DeaneYang yes, but I'd be interested in knowing the incomplete examples too. | |
Aug 13, 2021 at 22:52 | comment | added | Deane Yang | Apparently there are incomplete examples. Do you want it to be complete? | |
Aug 13, 2021 at 20:45 | comment | added | RBega2 | For what it's worth, Traizet arxiv.org/abs/1006.3389 used gluing techniques to show there is a complete embedded minimal surface in $\mathbb{R}^3$ with unbounded curvature. This suggests there may be an Einstein four manifold with unbounded curvature. | |
Aug 13, 2021 at 20:06 | comment | added | Matheus Andrade | @IgorBelegradek By Myers's theorem, a complete Einstein manifold with positive scalar curvature is compact. | |
Aug 13, 2021 at 19:56 | history | asked | Matheus Andrade | CC BY-SA 4.0 |