Longtime existence of kähler ricci flow and holomorphic sectional curvature

Shaochuang Huang, Man Chun Lee, Luen Fai Tam, Freid Tong

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, we obtain a existence criteria for the longtime Kähler-Ricci flow solution. Using the existence result, we generalize a result by Wu-Yau on the existence of Kähler Einstein metric to the case with possibly unbounded curvature. Moreover, the Kähler Einstein metric with negative scalar curvture must be unique up to scaling.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - May 31 2018
Externally publishedYes

Keywords

  • Holomorphic sectional curvature
  • Kähler Einstein metric
  • Kähler manifold
  • Kähler-Ricci flow

ASJC Scopus subject areas

  • General

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