Position of compact hypersurfaces of the -sphere
Abstract: Let be the Euclidean sphere of dimension n. Let p and q be antipodal points on , and, for nonnegative h, let be the hyperspheres of constant mean curvature h centered at p and q, respectively. Then any closed hypersurface in with mean curvature bounded by h must have a point in the 'tropical' region bounded by and .
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