On Complete Noncompact Kähler Manifolds with Positive Bisectional Curvature

نویسنده

  • Bing-Long Chen
چکیده

We prove that a complete noncompact Kähler manifold Mof positive bisectional curvature satisfying suitable growth conditions is biholomorphic to a pseudoconvex domain of C and we show that the manifold is topologically R2n. In particular, when M is a Kähler surface of positive bisectional curvature satisfying certain natural geometric growth conditions, it is biholomorphic to C2.

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تاریخ انتشار 2000