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Complete Kähler Manifolds with pinched Ricci curvature

Deng, Yuxing et al.
arXiv (All) · Papers
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differential-geometry
In this paper, we prove that a connected complete Kähler manifold of complex dimension at least two satisfying $\Ric\geq\varepsilon Rg\geq0$ for a fixed $\varepsilon>0$ is compact or Ricci-flat.
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