Mixed Integral Norms for Ricci Flow

2020/01/27 by Di Matteo, Gianmichele · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.09920

Abstract

We prove that a Ricci flow cannot develop a finite time singularity assuming the boundedness of a suitable space-time integral norm of the curvature tensor. Moreover, the extensibility of the flow is proved under a Ricci lower bound and the boundedness of a space-time integral norm of the scalar curvature.

Cited by

• Calabi flow with bounded L^p scalar curvature (II)

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