Leafwise flat forms on Inoue-Bombieri surfaces

Daniele Angella, Valentino Tosatti

Research output: Contribution to journalArticlepeer-review


We prove that every Gauduchon metric on an Inoue-Bombieri surface admits a strongly leafwise flat form in its ∂∂‾-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 ∂∂‾-class of the Tricerri/Vaisman metric.

Original languageEnglish (US)
Article number110015
JournalJournal of Functional Analysis
Issue number5
StatePublished - Sep 1 2023


  • Chern-Ricci flow
  • Gauduchon metric
  • Inoue-Bombieri surface
  • Leafwise flat form

ASJC Scopus subject areas

  • Analysis


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