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• W3151787130 abstract "We show that a simply-connected closed four-dimensional Ricci flow whose Ricci curvature is uniformly bounded below and whose volume does not approach zero must converge to a $C^0$ orbifold at any finite-time singularity, so has an extension through the singularity via orbifold Ricci flow. Moreover, a Type-I blowup of the flow based at any orbifold point converges to a flat cone in the Gromov-Hausdorff sense, without passing to a subsequence. In addition, we prove $L^p$ bounds for the curvature tensor on time-slices for any $p<2$. In higher dimensions, we show that every singular point of the flow is a Type-II point, and that any tangent flow at a singular point is a static flow corresponding to a Ricci flat cone." @default.
• W3151787130 created "2021-04-13" @default.
• W3151787130 creator A5052378767 @default.
• W3151787130 date "2021-04-07" @default.
• W3151787130 modified "2023-09-27" @default.
• W3151787130 title "Ricci Flow with Ricci Curvature and Volume Bounded Below" @default.
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• W3151787130 hasPublicationYear "2021" @default.
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