2 papers
math.DG2020
A new approach to the Fraser-Li conjecture with the Weierstrass representation formula
Jaehoon Lee, Eungbeom Yeon
In this paper, we provide a sufficient condition for a curve on a surface in to be given by an orthogonal intersection with a sphere. This result makes it possible t…
math.DG2019
Characterizations of the plane and the catenoid as capillary surfaces
Eungbeom Yeon
In this paper we prove that a capillary minimal surface outside the unit ball in with one embedded end and finite total curvature must be either part of the plane o…