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math.DG2024
A symmetry condition for genus zero free boundary minimal surfaces attaining the first eigenvalue of one
Dong-Hwi Seo
An embedded free boundary minimal surface in the 3-ball has a Steklov eigenvalue of one due to its coordinate functions. Fraser and Li conjectured that whether one is the first non…
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…
math.DG2021
Sufficient symmetry conditions for free boundary minimal annuli to be the critical catenoid
Dong-Hwi Seo
We first consider a uniqueness problem for embedded free boundary minimal annuli in the three-dimensional Euclidean unit half-ball. Then, we obtain symmetry properties for compact…