2 papers
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…