1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
Capillary minimal slicing and scalar curvature rigidity
Dongyeong Ko, Xuan Yao
We develop minimal slicing via capillary hypersurfaces to understand scalar curvature metric on manifolds bounded below with boundary. In particular, in dimension , we prove fol…
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…
Morse Index bound of simple closed geodesics on 2-spheres and strong Morse Inequalities
Dongyeong Ko
We give a Morse-theoretic characterization of simple closed geodesics on Riemannian -spheres. On any Riemannian -sphere endowed with a generic metric, we show there exists a…