K-Stability and Kähler-Einstein Metrics

Gang Tian

Research output: Contribution to journalArticlepeer-review

202 Scopus citations


We prove that if a Fano manifold M is K-stable, then it admits a Kähler-Einstein metric. It affirms a longstanding conjecture for Fano manifolds.

Original languageEnglish (US)
Pages (from-to)1085-1156
Number of pages72
JournalCommunications on Pure and Applied Mathematics
Issue number7
StatePublished - Jul 1 2015

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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