On the stability of the anomaly flow
Differential Geometry
2022-09-05 v3
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.
Keywords
Cite
@article{arxiv.2005.05670,
title = {On the stability of the anomaly flow},
author = {Lucio Bedulli and Luigi Vezzoni},
journal= {arXiv preprint arXiv:2005.05670},
year = {2022}
}
Comments
10 pages. Final Version. To appear in Mathematical Research Letters Vol.29, no.2