Regularity of the Kähler-Ricci flow

Gang Tian, Zhenlei Zhang

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


In this short note, we announce a regularity theorem for the Kähler-Ricci flow on a compact Fano manifold (Kähler manifold with positive first Chern class) and its application to the limiting behavior of the Kähler-Ricci flow on Fano 3-manifolds. Moreover, we also present a partial C0 estimate of the Kähler-Ricci flow under the regularity assumption, which extends previous works on Kähler-Einstein metrics and shrinking Kähler-Ricci solitons. The detailed proof will appear elsewhere.

Original languageEnglish (US)
Pages (from-to)635-638
Number of pages4
JournalComptes Rendus Mathematique
Issue number15-16
StatePublished - Aug 2013

All Science Journal Classification (ASJC) codes

  • General Mathematics


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