Finite-time singularity of Kähler-Ricci flow

Gang Tian

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


This is an expository paper dedicated to professor L. Nirenberg for his 85th birthday. First I will discuss my joint works with Z. Zhang and J. Song on the singularity formation of Kähler-Ricci flow. Secondly, I will show a fully nonlinear equation, scalar V-soliton equation (cf. Section 4, (14)), and some basic results about it. This equation was introduced by G. La Nave and myself in studying the singularity formation of Kähler-Ricci flow. I will also show how this new equation can be applied to studying the singularity formation at finite time.

Original languageEnglish (US)
Pages (from-to)1137-1150
Number of pages14
JournalDiscrete and Continuous Dynamical Systems
Issue number3
StatePublished - Nov 2010

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


  • Complex monge-ampère equation
  • Kähler-Ricci flow
  • Singularity
  • Soliton


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