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math.DG2021
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…
math.DG2021
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…