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

6 citations · 7 across the 2 of their papers we have counts for

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math.DG2009★ 1 cited

Curvature bounds by isoperimetric comparison for normalized Ricci flow on the two-sphere

Ben Andrews, Paul Bryan

We prove a comparison theorem for the isoperimetric profiles of solutions of the normalized Ricci flow on the two-sphere: If the isoperimetric profile of the initial metric is grea…

math.DG2009★ 6 cited

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

Ben Andrews, Paul Bryan

A new isoperimetric estimate is proved for embedded closed curves evolving by curve shortening flow, normalized to have total length . The estimate bounds the length of any cho…