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arXiv · 2610.09557

On the Gage-Hamilton-Grayson Theorem for free boundary curves

Yueheng Bao·Lorenzo Sarnataro
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Abstract

We provide an alternative and independent proof of the analogue of the Gage-Hamilton-Grayson Theorem for embedded free boundary curve shortening flows in a convex planar domain established by Langford-Zhu. Our proof is based on blowup arguments introduced by B. White in his work on mean-convex mean curvature flow.

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Yueheng Bao, Lorenzo Sarnataro. 2026-10-07. On the Gage-Hamilton-Grayson Theorem for free boundary curves. https://arxiv.org/abs/2610.09557

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