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Conditional Uniformization of Kähler Surfaces

Wu, Jingcao
arXiv (All) · Papers
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differential-geometry
We prove that a complete noncompact Kähler surface with nonnegative Ricci and nonnegative quadratic orthogonal bisectional curvature is contractible, and hence homeomorphic to $\mathbb{R}^4$, if it is simply connected at infinity. Under positive bisectional curvature, this removes the contractibilit
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