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arXiv · 2509.16823

Huisken's Distance Comparison Principle in Higher Codimension

Qi Sun
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Abstract

We establish a variant of Huisken's distance comparison principle for reflection symmetric immersed Curve Shortening flow in $\mathbb R^n,n\geq2$. As an application, we show that certain symmetric Curve Shortening flow with a one-to-one convex projection develops a Type~I singularity and becomes asymptotically circular.

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Qi Sun. 2025-09-20. Huisken's Distance Comparison Principle in Higher Codimension. https://arxiv.org/abs/2509.16823

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