Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature --- Part II (1506.03154v1)

Published 10 Jun 2015 in math.DG and math.AP

Abstract: 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.

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