31 citations · 33 across the 13 of their papers we have counts for
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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…