We prove that the parabolic flow of conformally balanced metrics introduced by Phong, Picard and Zhang in "A flow of conformally balanced metrics with Kaehler fixed points", is stable around Calabi-Yau metrics. The result shows that the flow can converge on a Kaehler manifold even if the initial metric is not conformally Kaehler.
On the stability of the anomaly flow
Lucio Bedulli;
2022-01-01
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 Kaehler fixed points", is stable around Calabi-Yau metrics. The result shows that the flow can converge on a Kaehler manifold even if the initial metric is not conformally Kaehler.File in questo prodotto:
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