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On Yau's uniformization conjecture

Published 29 Jun 2016 in math.DG and math.CV | (1606.08958v2)

Abstract: Let $Mn$ be a complete noncompact K\"ahler manifold with nonnegative bisectional curvature and maximal volume growth, we prove that $M$ is biholomorphic to $\mathbb{C}n$. This confirms Yau's uniformization conjecture when M has maximal volume growth.

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