It is known that, for compact Kahler manifolds with vanishing first Chern-class, there is a unique Ricci-flat metric in a given Kahler class. What is known in the non-compact case? Are there certain assumptions you can impose on the asymptotic behavior that guarantees a nice generalization of this theorem?
2026-04-07 14:17:37.1775571457
unique Ricci flat metric on non-compact Calabi-Yau manifolds
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