Positively Curved Complete Noncompact K\"{a}hler Manifolds
classification
🧮 math.DG
keywords
completenoncompactaffirmativeahleranalyticanswerbiholomorphicbounded
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In this paper we give a partial affirmative answer to a conjecture of Greene-Wu and Yau. We prove that a complete noncompact K\"ahler 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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