Isoperimetric Inequality in Complement of Mean Convex Set Fails at Banff
On March 29 at Banff, Mohammad Ghomi talked on his proof [CGR] with Choe and Ritoré of the isoperimetric inequality in the complement of a convex body K in Rn: the area of a hypersurface enclosing volume V outside the convex body is at least the area of a hemisphere of volume V. I asked whether it suffices to assume K mean convex (nonnegative mean curvature). The answer is no. Continue reading ‘Isoperimetric Inequality in Complement of Mean Convex Set Fails at Banff’ »
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