1 citations · 1 across the 3 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
math.DG2026
Free boundary minimal annuli in convex balls
Dongyeong Ko, Guanhua Shao
We construct a -parameter family of properly embedded genus-zero surfaces with at most two boundary components in a Riemannian -ball. The construction is a free boundary anal…
math.DG2026
Capillary minimal slicing and scalar curvature rigidity
Dongyeong Ko, Xuan Yao
We develop minimal slicing via capillary hypersurfaces to understand positive scalar curvature metric on manifolds with boundary. The method provides rigidity statements once the r…
math.DG2023★ 1 cited
Existence and Morse Index of two free boundary embedded geodesics on Riemannian 2-disks with convex boundary
Dongyeong Ko
We prove that a free boundary curve shortening flow on closed surfaces with a strictly convex boundary remains noncollapsed for a finite time in the sense of the reflected chord-ar…