Timeline for What is the definition of a Calabi-Yau metric on a non-compact manifold?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 3, 2021 at 15:48 | vote | accept | Jost Schultze | ||
| Nov 3, 2021 at 9:46 | comment | added | Robert Bryant | @JostSchultze: Yes, that's right. Of course, they are aware of Berger's result that a complete Ricci-flat Kähler metric on $\mathbb{C}^n$ that is not a product has holonomy either $\mathrm{SU}(n)$ or $\mathrm{Sp}(n/2)$ (if $n$ is even). (Metrics on a $4n$-manifold with holonomy in $\mathrm{Sp}(n)$ are known as hyperKähler metrics.) | |
| Nov 2, 2021 at 20:41 | comment | added | Jost Schultze | So in the Székelyhidi and Li case, they literally just mean Ricci-flat Kähler metrics on $\mathbb{C}^n$? | |
| Nov 2, 2021 at 20:38 | history | answered | Robert Bryant | CC BY-SA 4.0 |