# 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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```@inproceedings{ganggromov-hausdorff,
title={Gromov-Hausdorff limits of Kahler manifolds with bisectional curvature lower bound II},
author={Gang Liu},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170409204847221109739},
}
```
Gang Liu. Gromov-Hausdorff limits of Kahler manifolds with bisectional curvature lower bound II. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170409204847221109739.
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