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On the Complex Structure of Kähler Manifolds with Nonnegative Curvature

On the Complex Structure of Kähler Manifolds with Nonnegative Curvature

We study the asymptotic behavior of the Kähler-Ricci flow on Kähler manifolds of nonnegative holomorphic bisectional curvature. Using these results we prove that a complete noncompact Kähler manifold with nonnegative and bounded holomorphic bi-sectional curvature and maximal volume growth is biholomorphic to complex Euclidean space Cn. We also show that …