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Curvature bound for curve shortening flow via distance comparison and a direct proof of Grayson's theorem

Andrews, Benjamin; Bryan, Paul


A new isoperimetric estimate is proved for embedded closed curves evolving by curve shortening flow, normalized to have total length 2π. The estimate bounds the length of any chord from below in terms of the arc length between its endpoints and elapsed t

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Journal fur Reine und Angewandte Mathematik
DOI: 10.1515/CRELLE.2011.026


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