Isoperimetric inequality under Kähler Ricci flow

Gang Tian, Qi S. Zhang

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Let (M,g(t)) be a Kähler Ricci flow with positive first Chern class. First, we prove a uniform isoperimetric inequality for all time. In the process, we also prove a Cheng-Yau type log gradient bound for positive harmonic functions on (M,g(t)) without assuming the Ricci curvature is bounded from below.

Original languageEnglish (US)
Pages (from-to)1155-1173
Number of pages19
JournalAmerican Journal of Mathematics
Issue number5
StatePublished - Oct 1 2014

All Science Journal Classification (ASJC) codes

  • General Mathematics


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