On Yau's uniformization conjecture

2016/06/29 by Liu, Gang · 6 citations
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1606.08958

Abstract

Let Mⁿ be a complete noncompact Kähler manifold with nonnegative bisectional curvature and maximal volume growth, we prove that M is biholomorphic to ℂⁿ. This confirms Yau's uniformization conjecture when M has maximal volume growth.

Cited by

• Kähler geometry on total spaces of vector bundles over elliptic curves
• Minimal Degrees, Volume Growth, and Curvature Decay on Complete Kähler Manifolds
• The complex Monge-Ampere equation and an application to uniformisation of surfaces
• The rigidity of dimension estimate for holomorphic functions on Kähler manifolds
• Complete Kähler manifolds with nonnegative Ricci curvature II
• A topological rigidity theorem on noncompact Hessian manifolds

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