On the distance control problem in Ricci flows

2013/03/08 by Tian, Gang, Zhang, Qi S.
#35K08 #35K59 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1303.1895

Abstract

We show that the distance function under the Ricci flow is uniformly continuous in the time direction, assuming only the scalar curvature is bounded.

Related

• Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature --- Part II
• Reduced distance based at singular time in the Ricci flow
• Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature
• Ricci flow and Ricci Limit Spaces
• Weak scalar curvature lower bounds along Ricci flow