3 papers
math.DG2026
Classification of ancient finite-entropy curve shortening flows
Kyeongsu Choi, Dong-Hwi Seo, Wei-Bo Su +1
We prove that any ancient smooth embedded finite-entropy curve shortening flow is one of the following: a static line, a shrinking circle, a paper clip, a translating grim reaper,…
math.DG2024
On bounds of entropy and total curvature for ancient curve shortening flows
Wei-Bo Su, Kai-Wei Zhao
Bounds of total curvature and entropy are two common conditions placed on mean curvature flows. We show that these two hypotheses are equivalent for the class of ancient complete e…
math.DG2024
Uniqueness of tangent flows at infinity for finite-entropy shortening curves
Kyeongsu Choi, Dong-Hwi Seo, Wei-Bo Su +1
In this paper, we prove that an ancient smooth curve shortening flow with finite-entropy embedded in has a unique tangent flow at infinity. To this end, we show that…