Preprint in the OpenAI Math release
Uniformization of complete Kähler manifolds with positive bisectional curvature
OpenAI
Abstract
We prove that every complete connected noncompact Kähler manifold with strictly positive holomorphic bisectional curvature is biholomorphic to complex Euclidean space. This resolves Yau's uniformization conjecture positively in every complex dimension.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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