31 citations · 33 across the 13 of their papers we have counts for
14 papers
Conformal structures and rigidity of complete stable minimal hypersurfaces
Jooyeon Park, Keomkyo Seo
We study complete stable minimal hypersurfaces in Riemannian manifolds under various curvature assumptions. In an -dimensional complete oriented manifold with nonnegative sc…
Weighted volume monotonicity and isoperimetric comparison under a lower Ricci curvature bound
Jiewon Park, Keomkyo Seo
We establish a weighted extension of the Bishop-Gromov volume comparison theorem for complete Riemannian manifolds with Ricci curvature bounded below. Given a point and positiv…
Sharp lower bounds for the first eigenvalue of Steklov-type eigenvalue problems on a compact surface
Gunhee Cho, Keomkyo Seo
Let be a compact surface with smooth boundary and the geodesic curvature along for some constant . We prove that, if the Gaussi…
Free boundary minimal annuli in
Pak Tung Ho, Juncheol Pyo, Keomkyo Seo
Let be a compact 3-dimensional Riemannian manifold with nonnegative Ricci curvature and a nonempty boundary . Fraser and Li \cite{Fraser&Li} established a compactne…
Chen's conjecture on biharmonic submanifolds in Riemannian manifolds
Keomkyo Seo, Gabjin Yun
We study biharmonic hypersurfaces and biharmonic submanifolds in a Riemannian manifold. One of interesting problems in this direction is Chen's conjecture which says that any bihar…
Free boundary constant mean curvature surfaces in a strictly convex three-manifold
Sung-Hong Min, Keomkyo Seo
Let be a strictly convex domain in a -dimensional Riemannian manifold with sectional curvature bounded above by a constant and let be a constant mean curvature surface w…