On Yau's uniformization conjecture

Gang Liu

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arXiv · 1606.08958

On Yau's uniformization conjecture

Gang Liu

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Abstract

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 Yau's uniformization conjecture when M has maximal volume growth.

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Gang Liu. 2016-06-29. On Yau's uniformization conjecture. https://arxiv.org/abs/1606.08958

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