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Positively Curved Complete Noncompact Kähler Manifolds

Bing-Long Chen·Xi-Ping Zhu
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Abstract

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 ${\C}^2$.

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Bing-Long Chen, Xi-Ping Zhu. 2002-11-24. Positively Curved Complete Noncompact Kähler Manifolds. https://arxiv.org/abs/math/0211373

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