On the Complex Structure of Kähler Manifolds with Nonnegative Curvature
نویسندگان
چکیده
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 bounded holomorphic bisectional curvature and maximal volume growth is biholomorphic to complex Euclidean space C . We also show that the volume growth condition can be removed if we assume (M, g) has average quadratic scalar curvature decay (see Theorem 2.1) and positive curvature operator.
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