{"id":"openai-math/Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature","pdf":"https://github.com/openai/math/blob/main/preprints/Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026","tags":["complex-geometry","kahler-manifolds","uniformization","differential-geometry"],"score":0,"title":"Uniformization of complete Kähler manifolds with positive bisectional curvature","domain":"Differential geometry","family":"338","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.DG","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Yau's uniformization conjecture"}