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On the stability of the anomaly flow
Published 12 May 2020 in math.DG | (2005.05670v3)
Abstract: We prove that the parabolic flow of conformally balanced metrics introduced by Phong, Picard and Zhang in "A flow of conformally balanced metrics with K\"ahler fixed points", is stable around Calabi-Yau metrics. The result shows that the flow can converge on a K\"ahler manifold even if the initial metric is not conformally K\"ahler.
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