A uniformization theorem for complete Kähler manifolds with positive holomorphic bisectional curvature

1998/01/01 by Wan-Xiong Shi · 2 citations
Mathematics · #Analytic and geometric function theory #Ball (mathematics) #Bounded function #Conjecture #Curvature #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holomorphic function #Kähler manifold #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #Ricci curvature #Scalar curvature #Sectional curvature #Uniformization (probability theory)

paper · doi:10.1007/bf02922111

crossref issued 1998/01/01 · crossref published 1998/01/01 · crossref published-print 1998/01/01 · openalex publication_date 1998/01/01 · crossref created 2011/12/09 · crossref deposited 2022/05/16 · crossref indexed 2022/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Citations

• Complete noncompact three-manifolds with nonnegative Ricci curvature
• Three-manifolds with positive Ricci curvature
• The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature
• Geometry of Manifolds
• Ricci deformation of the metric on complete noncompact Riemannian manifolds
• Deforming the metric on complete Riemannian manifolds
• On the parabolic kernel of the Schrödinger operator
• Differential equations on riemannian manifolds and their geometric applications
• On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I
• Comparison Theorems in Riemannian Geometry
• Deforming metrics in the direction of their Ricci tensors
• Four-manifolds with positive curvature operator
• On Complete Open Manifolds of Positive Curvature
• Complete noncompact Kähler manifolds with positive holomorphic bisectional curvature

Cited by

• Perspectives on geometric analysis
• Wanxiong Shi [wikipedia]