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

By Richard Bamler, Qi S. Zhang. Calculus of Variations and Partial Differential Equations, 2015

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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 $$\frac{1}{2}$$12-Hölder continuous in a uniform sense. This implies that the distance function can be extended continuously up to the singular time.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c4d8ad691984ee236c4e1a6bbf7a65736de8f915