# MathSciDoc: An Archive for Mathematician ∫

#### Differential Geometrymathscidoc:1704.10002

Let \$M^n\$ 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 the uniformization conjecture of Yau under the assumption \$M\$ has maximal volume growth.
Uniformization conjecture
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