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A Remark on Steinness*

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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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    Ni, L. and Tam, L. F., Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature, J. Diff. Geom., 64, 2003, 457–524

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    Grauert, H., On Levi's problem and the embedding of real-analytic manifolds, Ann. of Math., 68, 1958, 460–472

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Author information

Correspondence to Chaohui Zhou.

Additional information

*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

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  • Holomorphic bisectional curvature
  • Plurisubharmonic
  • Smooth
  • Exhausting

2000 MR Subject Classification

  • 58G11