Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature—Part II

摘要

In this paper we analyze the behavior of the distance function under Ricciflows whose scalar curvature is uniformly bounded. We will show that on smalltime-intervals the distance function is $rac12$-H"older continuous in auniform sense. This implies that the distance function can be extendedcontinuously up to the singular time.