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A local noncollapsing estimate for mean curvature flow

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arxiv 2103.15641 v3 pith:QQZHAX36 submitted 2021-03-29 math.DG

Simon Brendle , Keaton Naff This is my paper · ORCID
classification math.DG
keywords curvatureestimateflowlocalmeannoncollapsingancientcertain
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We prove a local version of the noncollapsing estimate for mean curvature flow. By combining our result with earlier work of X.-J. Wang, it follows that certain ancient convex solutions that sweep out the entire space are noncollapsed.

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Cited by 1 Pith paper

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  1. Passing through nondegenerate singularities in mean curvature flows

    math.DG 2025-01 conditional novelty 7.0 of 10

    Mean curvature flows through nondegenerate cylindrical singularities undergo an isolated, graphical surgery event whose topology change equals an (n-k)-surgery, matching Morse level sets.

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