L1 curvature bounds for Type I Ricci flows
Abstract
We show L1-bounds of the Riemann curvature tensor on a smooth closed n-dimensional Ricci flow. To achieve this we introduce the notion of a neck of maximal symmetry, similar to the one in Cheeger-Jiang-Naber and Jiang-Naber and establish a decomposition result by balls with uniform curvature bounds that satisfy an appropriate (n-2)-content estimate.
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