Uniformization of complete Kähler manifolds with positive bisectional curvature
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.
Cite
@misc{OAI:Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026,
author = {{OpenAI}},
title = {{Uniformization of complete K{\"a}hler manifolds with positive bisectional curvature}},
howpublished = {OpenAI Math Release preprint
\href{https://github.com/openai/math/blob/main/preprints/Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026/paper.pdf}{OAI:Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026}},
year = {2026}
}