We prove that certain possibly non-smooth Hermitian metrics are Griffiths-semipositively curved if and only if they satisfy an asymptotic extension property. This result answers a question of Deng–Ning–Wang–Zhou in the affirmative.

中文翻译：

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关于格里菲斯半正定性的渐近刻画

我们证明，当且仅当它们满足渐近扩展性质时，某些可能非光滑的埃尔米特度量是格里菲斯半正弯曲的。该结果肯定地回答了邓宁王州问题。