On Yau’s uniformization conjecture

IF 1.8 2区 数学 Q1 MATHEMATICS
Gang Liu
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引用次数: 21

Abstract

Let $M^n$ be a complete noncompact Kahler 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.
论丘的均匀化猜想
设$M^n$是一个具有非负对分曲率和最大体积增长的完全非紧Kahler流形,我们证明了$M$对$\mathbb{C}^n$是生物全纯的。这证实了Yau在M体积增长最大时的均匀化猜想。
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CiteScore
3.10
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0.00%
发文量
7
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