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seo keomkyo: Chen's conjecture on biharmonic submanifolds in Riemannian manifolds,p-Fundamental tone estimates of submanifolds with bounded mean ...,Keomkyo Seo - Academia.edu,PDF arXiv:1002.3898v1 [math.DG] 20 Feb 2010,
Chen's conjecture on biharmonic submanifolds in Riemannian manifolds
KEOMKYO SEO Abstract. In this paper, we prove that minimal hypersurfaces when n ≥ 3 and nonzero constant mean curvature hypersurfaces when n ≥ 2 foliated by
p-Fundamental tone estimates of submanifolds with bounded mean ...
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.
Keomkyo Seo - Academia.edu
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.
PDF arXiv:1002.3898v1 [math.DG] 20 Feb 2010
Keomkyo Seo [email protected] Department of Mathematics, Sookmyung Women's University, Hyochangwongil 52, Yongsan-ku, Seoul, 140-742, Korea. Search for more papers by this author