Inoue surfaces and the Chern–Ricci flow

Shouwen Fang, Valentino Tosatti, Ben Weinkove*, Tao Zheng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


We investigate the Chern–Ricci flow, an evolution equation of Hermitian metrics, on Inoue surfaces. These are non-Kähler compact complex surfaces of type Class VII. We show that, after an initial conformal change, the flow always collapses the Inoue surface to a circle at infinite time, in the sense of Gromov–Hausdorff.

Original languageEnglish (US)
Pages (from-to)3162-3185
Number of pages24
JournalJournal of Functional Analysis
Issue number11
StatePublished - Dec 1 2016


  • Chern–Ricci flow
  • Class VII surfaces
  • Inoue surfaces

ASJC Scopus subject areas

  • Analysis


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