Published Paper
Inserted: 1 jul 2021
Last Updated: 21 jul 2023
Journal: J. Funct. Anal.
Volume: 285
Number: 5
Pages: 34 pp.
Year: 2023
Doi: 10.1016/j.jfa.2023.110015
Paper No. 1100
Abstract:
We prove that every Gauduchon metric on an Inoue-Bombieri surface admits a strongly leafwise flat form in its $\partial\overline\partial$-class. Using this result, we deduce uniform convergence of the normalized Chern-Ricci flow starting at any Gauduchon metric on all Inoue-Bombieri surfaces. We also show that the convergence is smooth with bounded curvature for initial metrics in the $\partial\overline\partial$-class of the TricerriVaisman metric.
Tags:
SIR2014-AnHyC
, PRIN2017-MFDS