A Remark on Steinness

Citation:

Chaohui ZHOU,Zhihua CHEN.A Remark on Steinness[J].Chinese Annals of Mathematics B,2007,28(2):161~164
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Authors:

Chaohui ZHOU; Zhihua CHEN

Foundation:

the National Natural Science Foundation of China (No. 10471105, No. 10571135)
Abstract: In this paper, the authors prove that if $M^n$ is a complete noncompact K$\ddot{\rm a}$hler manifold with a pole $p$, and its holomorphic bisectional curvature is asymptotically nonnegative to $p$, then it is a Stein manifold.

Keywords:

Holomorphic bisectional curvature, Plurisubharmonic, Smooth, Exhausting

Classification:

58G11
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