Jaigyoung Choe

activity

20122022

most citedNew minimal surfaces in S^3 desingularizing the Clifford tori

6 citations · 8 across the 5 of their papers we have counts for

collaborators

Showing math.DGShow all

9 papers · 1 filter

math.DG2025

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…

math.DG2022★ 1 cited

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…

math.DG2021

The periodic Plateau problem and its application

Jaigyoung Choe

Given a noncompact disconnected complete periodic curve $Γ$ with no self intersection in $R^{3}$ , it is proved that there exists a noncompact simply connected periodic minima…

math.DG2020

The Minimality of Determinantal Varieties

Martin Bordemann, Jaigyoung Choe, Jens Hoppe

The determinantal variety $Σ_{pq}$ is defined to be the set of all $p \times q$ real matrices with $p \geq q$ whose ranks are strictly smaller than $q$ . It is proved that $Σ_{pq}$ is…

math.DG2017

Density of a minimal submanifold and total curvature of its boundary

Jaigyoung Choe, Robert Gulliver

Given a piecewise smooth submanifold $Γ^{n - 1} \subset R^{m}$ and $p \in R^{m}$ , we define the {\em vision angle} $Π_{p} (Γ)$ to be the $(n - 1)$ -dimensional volume of the radial projectio…

math.DG2017★ 1 cited

Some minimal submanifolds generalizing the Clifford torus

Jaigyoung Choe, Jens Hoppe

The Clifford torus is a product surface in $S^{3}$ and it is helicoidal. It will be shown that more minimal submanifolds of $S^{n}$ have these properties.