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Minimal Surfaces in with Three Planar Ends II: Symmetry and Nonexistence
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 containi…
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…
Minimal Surfaces in with Three Planar Ends I: Holomorphicity and Uniqueness
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 containi…
Complete minimal surfaces of finite topology in the doubled Schwarzschild 3-manifold
Jaigyoung Choe, Jaehoon Lee, Eungbeom Yeon
We construct a complete embedded minimal surface with arbitrary genus in the doubled Schwarzschild 3-manifold. A classical desingularization method is used for the construction.
Frankel's property for free boundary minimal hypersurfaces in the Riemannian Schwarzschild manifolds
Jaehoon Lee, Eungbeom Yeon
We study the behavior of minimal hypersurfaces in the Schwarzschild -manifolds that intersect the horizon orthogonally along the boundary. We show that a free boundary minimal h…
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 minimal surfaces
Eungbeom Yeon
In this paper, we prove that an immersed annular capillary minimal surface outside the unit ball in with one complete embedded end and finite total curvature must be…