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Longtime existence of Kähler–Ricci flow and holomorphic sectional curvature

Longtime existence of Kähler–Ricci flow and holomorphic sectional curvature

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 …