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arXiv math/0211373math.DG
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正曲完备非紧Kähler流形

Positively Curved Complete Noncompact Kähler Manifolds

Bing-Long Chen, Xi-Ping Zhu

摘要:

本文部分肯定地回答了Greene-Wu和Yau的一个猜想。证明了具有正的有界截面曲率和有限解析Chern数$c_{1}(M)^{2}$的完备非紧Kähler曲面双全纯于${\C}^2$ .

英文摘要:

In this paper we give a partial affirmative answer to a conjecture of Greene-Wu and Yau. We prove that a complete noncompact Kähler surface with positive and bounded sectional curvature and with finite analytic Chern number $c_{1}(M)^{2}$ is biholomorphic to ${\C}^2$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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