Timeline for Examples of Einstein four-manifolds of negative sectional curvature
Current License: CC BY-SA 3.0
4 events
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Oct 5, 2014 at 4:01 | comment | added | Igor Belegradek | I think the metric coming from the solution of Calabi conjecture need not have negative sectional curvature. The conjecture I mention in the first comment is taken from [Siu, Yum Tong; Yang, Paul Compact Kähler-Einstein surfaces of nonpositive bisectional curvature. Invent. Math. 64 (1981), no. 3, 471–487] whose authors discuss Mostow-Sie example in the introduction. | |
Oct 5, 2014 at 3:56 | comment | added | Igor Rivin | @IgorBelegradek I believe it is K-E, as follows from the Calabi conjecture. | |
Oct 5, 2014 at 3:41 | comment | added | Igor Belegradek | If memory serves, Mostow-Siu metric is not Einstein. I think there is a conjecture that any Kahler-Einstein surface of negative sectional curvature is covered by $CH^2$. | |
Oct 5, 2014 at 3:30 | history | answered | Igor Rivin | CC BY-SA 3.0 |