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arXiv · 1506.03154

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

Richard H. Bamler·Qi S. Zhang
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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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Richard H. Bamler, Qi S. Zhang. 2015-06-10. Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature --- Part II. https://arxiv.org/abs/1506.03154

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