seo keomkyo: Keomkyo SEO | Sookmyung Women's University, Seoul | Department of ...,[PDF] A characterization of Clifford hypersurfaces among embedded ...,p-Fundamental tone estimates of submanifolds with bounded mean ...,Stable minimal hypersurfaces in the hyperbolic space,
Department of Mathemathics. College of Science. Sookmyung Women's University. Cheongpa-ro 47-gil 100, Yongsan-ku, Seoul, 04310, Korea. Phone: +82-2-2077-7465. E-mail: kseo "at" sookmyung.ac.kr.
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.
If we consider Σ as a subset of the unit ball Bn in Euclidean space, we can measure the Euclidean volumes of the given minimal submanifold Σ and the ideal boundary ∂ ∞ Σ, say Vol ℝ ( Σ) and Vol ℝ ( ∂ ∞ Σ), respectively. Using this concept, we prove an optimal linear isoperimetric inequality.
Stable minimal hypersurfaces in the hyperbolic space. Keomkyo Seo. In this paper we give an upper bound of the first eigenvalue of the Laplace operator on a complete stable minimal hypersurface M in the hyperbolic space which has finite L2 -norm of the second fundamental form on M.