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

2015/06/10 by Richard H. Bamler, Qi S. Zhang, Bamler, Richard H. +1
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.1506.03154

13 pages

arxiv created 2015/06/10 · openalex publication_date 2015/06/10 · arxiv updated 2015/06/11 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

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-Hölder continuous in a uniform sense. This implies that the distance function can be extended continuously up to the singular time.

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