4 papers · 1 filter
On stationary real matrix Schubert varieties
Jaehoon Lee, Sangwoo Park, Eungbeom Yeon
In this paper, we study when a real matrix Schubert variety is stationary with respect to the first variation. We first show that a necessary condition for its open dense regular p…
Complete Minimal Surfaces in with Three Embedded Planar Ends
Jaehoon Lee, Eungbeom Yeon
In this paper, we study complete minimal surfaces in with three embedded planar ends parallel to those of the union of the Lagrangian catenoid and the plane passing…
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…
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…