2021/05/04 by Chu, Jianchun, Lee, Man-Chun
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2105.01602
In this work, we study the H"older regularity of the Kähler- Ricci flow on compact Kähler manifolds with semi-ample canonical line bundle. By adapting the method in the work of Hein-Tosatti on collapsing Calabi-Yau metrics, we obtain a uniform spatial Hölder estimate of the Kähler-Ricci flow for all time.