17 citations · 21 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Minimal surfaces in like the Lagrangian catenoid
Jaehoon Lee
In this paper, we discuss complete minimal immersions in () with finite total curvature and embedded planar ends. First, we prove nonexistence for the followi…
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…
Closed Lagrangian self-shrinkers in symmetric with respect to a hyperplane
Jaehoon Lee
In this paper, we prove that the closed Lagrangian self-shrinkers in which are symmetric with respect to a hyperplane are given by the products of Abresch-Langer cur…