In this paper, the authors prove that if M n is a complete noncompact Kähler manifold with a pole p, and its holomorphic bisectional curvature is asymptotically non-negative to p, then it is a Stein manifold.
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*Project supported by the National Natural Science Foundation of China (No. 10471105, No. 10571135).
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Zhou, C., Chen, Z. A Remark on Steinness*. Chin. Ann. Math. Ser. B 28, 161–164 (2007). https://doi.org/10.1007/s11401-005-0440-1
- Holomorphic bisectional curvature
2000 MR Subject Classification