seo keomkyo: BONGDATV

Let Σ be an n(≥ 3)-dimensional compact embedded hypersurface in a unit sphere with constant mean curvature H ≥ 0 and with two distinct principal curvatures λ and μ of multiplicity n− 1 and 1, respectively. It is known that if λ > μ, there exist many compact embedded constant mean curvature hypersurfaces [26].

Keomkyo Seo. September 2, 2020. Abstract. We obtain the radial symmetry of the solution to a partially overdetermined bound-ary value problem in a convex cone in space forms by using the maximum principle for a suitable subharmonic function P and integral identities.

Keomkyo Seo. Follow. Research Interests: Philosophy, Philosophy Of Mathematics, Continental Philosophy, Gilles Deleuze and Felix Guattari, and Measure Theory. Papers. Geometric inequalites outside a convex set in a Riemannian manifold. by Keomkyo Seo. Publication Date: 2007. Publication Name: Journal of Mathematics of Kyoto University.

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 biharmonic submanifold in a Euclidean space is minimal.