English

Tian's partial $C^0$-estimate implies Hamilton-Tian's conjecture

Differential Geometry 2020-06-26 v2

Abstract

In this paper, we prove the Hamilton-Tian conjecture for K\"ahler-Ricci flow based on a recent work of Liu-Sz\'ekelyhidi on Tian's partical C0C^0-estimate for poralized K\"ahler metrics with Ricci bounded below. The Yau-Tian-Donaldson conjecture for the existence of K\"ahler-Einstein metrics on Fano manifolds will be also discussed.

Keywords

Cite

@article{arxiv.2002.05501,
  title  = {Tian's partial $C^0$-estimate implies Hamilton-Tian's conjecture},
  author = {Feng Wang and Xiaohua Zhu},
  journal= {arXiv preprint arXiv:2002.05501},
  year   = {2020}
}

Comments

We added Lemma 4.4 and modified the proofs of Proposition 4.7 and Lemma 4.8

R2 v1 2026-06-23T13:40:46.297Z