Proves Yau's uniformization conjecture: every complete connected noncompact Kähler manifold with strictly positive holomorphic bisectional curvature is biholomorphic to ℂn.
Manuscript
Uniformization of complete Kähler manifolds with positive bisectional curvature
September 23, 2026 · source · cite as \cite{OAI:Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026}
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.
Result 338 · Differential geometry. Imported from openai/math, a collection of manuscripts produced by an OpenAI model; results are at different stages of verification. Discussion below is by Lemma members.
Source: https://github.com/openai/math/blob/main/CONTENTS.md