2023/10/11 by Jian, Wangjian, Song, Jian, Tian, Gang
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2310.07943
In this note, we give a new proof for Perelman's scalar curvature and diameter estimates for the Kähler-Ricci flow on Fano manifolds. The proof relies on a new Harnack estimate for a special family of functions in space-time. Our new approach initiates the work in \citeJST23a for general finite time solutions of the Kähler-Ricci flow.