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arXiv · 1805.12328

Longtime existence of K\"ahler Ricci flow and holomorphic sectional curvature

Shaochuang Huang·Man-Chun Lee·Luen-Fai Tam·Freid Tong
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Abstract

In this work, we obtain a existence criteria for the longtime K\"ahler Ricci flow solution. Using the existence result, we generalize a result by Wu-Yau on the existence of K\"ahler Einstein metric to the case with possibly unbounded curvature. Moreover, the K\"ahler Einstein metric with negative scalar curvture must be unique up to scaling.

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Shaochuang Huang, Man-Chun Lee, Luen-Fai Tam, Freid Tong. 2018-05-31. Longtime existence of K\"ahler Ricci flow and holomorphic sectional curvature. https://arxiv.org/abs/1805.12328

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