2021/12/15 by Cheng, Liang, Zhang, Yongjia
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2112.07818
In this paper, we prove a pseudolocality-type theorem for \mathcal L-complete noncompact Ricci flow which may not have bounded sectional curvature; with the help of it we study the uniqueness of the Ricci flow on noncompact manifolds. In particular, we prove the strong uniqueness theorem for the \mathcal L-complete Ricci flow on the Euclidean space. This partially answers a question proposed by B-L.~Chen.