Almost Spherical Convex Hypersurfaces in R4 |
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| Authors: | Sung-Eun Koh Taekwan Um |
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| Institution: | (1) Department of Mathematics, Konkuk University, Seoul, 143-701, Korea;(2) Department of Mathematics, Konkuk University, Seoul, 143-701, Korea |
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| Abstract: | It is shown that if a ratio of two mean curvature functions of a closed convex hypersurface in the four-dimensional Euclidean space is sufficiently close to a constant, then the hypersurface lies between two concentric round spheres of sufficiently close radii. |
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| Keywords: | mean curvature functions support function Minkowski formula Cardan formula |
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