6 citations · 16 across the 14 of their papers we have counts for
16 papers
Free boundary minimal surfaces in products of balls
Jaigyoung Choe, Ailana Fraser, Richard Schoen
In this paper we develop an extremal eigenvalue approach to the problem of construction of free boundary minimal surfaces in the product of Euclidean balls of chosen radii. The ext…
Free boundary minimal surfaces and the reflection principle
Jaigyoung Choe
We show that a minimal surface meeting a sphere at a 90-degree angle can be reflected across the sphere. Using this reflection, we prove the uniqueness that every embedded free bou…
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.
Generating Axially Symmetric Minimal Hyper-surfaces in R^{1,3}
Jens Hoppe, Jaigyoung Choe, O. Teoman Turgut
It is shown that, somewhat similar to the case of classical Baecklund transformations for surfaces of constant negative curvature, infinitely many axially symmetric minimal hypersu…
The periodic Plateau problem and its application
Jaigyoung Choe
Given a noncompact disconnected complete periodic curve with no self intersection in , it is proved that there exists a noncompact simply connected periodic minima…
The Minimality of Determinantal Varieties
Martin Bordemann, Jaigyoung Choe, Jens Hoppe
The determinantal variety is defined to be the set of all real matrices with whose ranks are strictly smaller than . It is proved that is…