Huisken’s distance comparison principle in higher codimension

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Authors: Qi Sun
Cited by: 0

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.

Fields of Study & Subjects

Advanced Clustering Algorithms Research Bayesian Methods and Mixture Models

Publication details

Journal / source
Proceedings of the American Mathematical Society
Publication date
10 August 2026
Language
EN