6 citations · 7 across the 4 of their papers we have counts for
6 papers
Density of a minimal submanifold and total curvature of its boundary
Jaigyoung Choe, Robert Gulliver
Given a piecewise smooth submanifold and , we define the {\em vision angle} to be the -dimensional volume of the radial projectio…
Some minimal submanifolds generalizing the Clifford torus
Jaigyoung Choe, Jens Hoppe
The Clifford torus is a product surface in and it is helicoidal. It will be shown that more minimal submanifolds of have these properties.
Mean curvature in manifolds with Ricci curvature bounded from below
Jaigyoung Choe, Ailana Fraser
Let be a compact Riemannian manifold of nonnegative Ricci curvature and a compact embedded 2-sided minimal hypersurface in . It is proved that there is a dichotomy: If $…
On the area of minimal surfaces in a slab
Jaigyoung Choe, Benoit Daniel
Consider a non-planar orientable minimal surface S in a slab which is possibly with genus or with more than two boundary components. We show that there exists a catenoidal waist W…
New minimal surfaces in S^3 desingularizing the Clifford tori
Jaigyoung Choe, Marc Soret
For each integer m>1 and l>0 we construct a pair of compact embedded minimal surfaces of genus 1+4m(m-1)l. These surfaces desingularize the m Clifford tori meeting each other along…
Noncommutative Minimal Surfaces
Joakim Arnlind, Jaigyoung Choe, Jens Hoppe
We define noncommutative minimal surfaces in the Weyl algebra, and give a method to construct them by generalizing the well-known Weierstrass-representation.