Dongyeong Ko

most citedExistence and Morse Index of two free boundary embedded geodesics on Riemannian 2-disks with convex boundary

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

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…

math.DG2023

Min-max construction of two capillary embedded geodesics on Riemannian $2$ -disks

Dongyeong Ko

In this paper, we prove the existence of two capillary embedded geodesics with a contact angle $θ \in (0, π /2)$ on Riemannian $2$ -disks with strictly convex boundary, where the absen…

math.DG2023

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 $2$ -spheres. On any Riemannian $2$ -sphere endowed with a generic metric, we show there exists a…

Existence and Morse Index of two free boundary embedded geodesics on Riemannian 2-disks with convex boundary

Min-max construction of two capillary embedded geodesics on Riemannian 2-disks

Morse Index bound of simple closed geodesics on 2-spheres and strong Morse Inequalities

Min-max construction of two capillary embedded geodesics on Riemannian $2$ -disks