Dongyeong Ko

collaborators

Showing math.DGShow all

2 papers · 1 filter

math.DG2025

Regularity of Cohomogeneity two equivariant isotopy minimization problems and minimal hypersurfaces with large first Betti number on spheres

Dongyeong Ko

We prove the regularity of cohomogeneity two equivariant isotopy minimization problems. Based on this, we develop cohomogeneity two equivariant min-max theory for minimal hypersurf…

math.DG2025

Scalar curvature comparison and rigidity of $3$ -dimensional weakly convex domains

Dongyeong Ko, Xuan Yao

For a compact Riemannian $3$ -manifold $(M^{3}, g)$ with mean convex boundary which is diffeomorphic to a weakly convex compact domain in $R^{3}$ , we prove that if scalar c…

Regularity of Cohomogeneity two equivariant isotopy minimization problems and minimal hypersurfaces with large first Betti number on spheres

Scalar curvature comparison and rigidity of 3-dimensional weakly convex domains

Scalar curvature comparison and rigidity of $3$ -dimensional weakly convex domains