Tian's partial C⁰-estimate implies Hamilton-Tian's conjecture

2020/02/13 by Wang, Feng, Zhu, Xiaohua · 4 citations
#19L10 #58J05 #Differential Geometry (math.DG) #FOS: Mathematics #Primary: 53C25 #Secondary: 53C55

paper · doi:10.48550/arxiv.2002.05501

Abstract

In this paper, we prove the Hamilton-Tian conjecture for Kähler-Ricci flow based on a recent work of Liu-Székelyhidi on Tian's partical C⁰-estimate for poralized Kähler metrics with Ricci bounded below. The Yau-Tian-Donaldson conjecture for the existence of Kähler-Einstein metrics on Fano manifolds will be also discussed.

Cited by

• Fano Fibrations and Twisted Kähler-Einstein Metrics II: The Kähler-Ricci Flow
• Fano Fibrations and Twisted Kähler-Einstein Metrics I
• Laplace comparison on Kähler Ricci flow and convergence
• On the effective YTD conjecture

Related

• Bergman Kernel Along The Kähler Ricci Flow and Tian's Conjecture
• Space of Ricci flows (II)
• Laplace comparison on Kähler Ricci flow and convergence
• Characterization of Einstein-Fano manifolds via the Kähler-Ricci flow
• Remarks on Kahler Ricci Flow