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arXiv 2005.05670math.DG
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异常流的稳定性

On the stability of the anomaly flow

Lucio Bedulli, Luigi Vezzoni

摘要:

本文证明了Phong,Picard和Zhang在“A flow of conformally balanced metrics with Kähler不动点“中引入的抛物型共形平衡度量流在Calabi-Yau度量周围是稳定的.结果表明,即使初始度量不是共形的Kähler,该流也能收敛到Kähler流形上。

英文摘要:

We prove that the parabolic flow of conformally balanced metrics introduced by Phong, Picard and Zhang in "A flow of conformally balanced metrics with Kähler fixed points", is stable around Calabi-Yau metrics. The result shows that the flow can converge on a Kähler manifold even if the initial metric is not conformally Kähler.

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