8 papers
A gradient estimate for the linearized translator equation
Kyeongsu Choi, Robert Haslhofer, Or Hershkovits
In this paper, we develop some analytic foundations for the linearized translator equation in , i.e. in the first dimension where the Bernstein property fails. This e…
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,…
The linearized translator equation and applications
Kyeongsu Choi, Robert Haslhofer, Or Hershkovits
In this paper, we consider the linearized translator equation , around entire convex translators , i.e. in the first dimension whe…
Revisiting ancient noncollapsed flows in
Kyeongsu Choi, Robert Haslhofer
In this short paper, we give a new proof of the classification theorem for noncompact ancient noncollapsed flows in originally due to Brendle-Choi (Inventiones 2019)…
Classification of ancient noncollapsed flows in
Kyeongsu Choi, Robert Haslhofer
In this paper, we classify all noncollapsed singularities of the mean curvature flow in . Specifically, we prove that any ancient noncollapsed solution either is one…
Curvature bound for Minkowski problem
Kyeongsu Choi, Minhyun Kim, Taehun Lee
We establish curvature estimates for anisotropic Gauss curvature flows. By using this, we show that given a measure with a positive smooth density , any solution to the $L_…