Mathematical Research Letters

Volume 29 (2022)

Number 2

On the stability of the anomaly flow

Pages: 323 – 338

DOI: https://dx.doi.org/10.4310/MRL.2022.v29.n2.a1

Authors

Lucio Bedulli (Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università dell’Aquila, Italy)

Luigi Vezzoni (Dipartimento di Matematica G. Peano, Università di Torino, Italy)

Abstract

We prove that the parabolic flow of conformally balanced metrics introduced in [13] 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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This work was supported by GNSAGA of INdAM.

Received 14 May 2020

Accepted 10 August 2020

Published 29 September 2022