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

Richard H. Bamler, Qi S. Zhang

Published 2015-06-10Version 1

In this paper we analyze the behavior of the distance function under Ricci flows whose scalar curvature is uniformly bounded. We will show that on small time-intervals the distance function is $\frac12$-H\"older continuous in a uniform sense. This implies that the distance function can be extended continuously up to the singular time.