## 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 R^{n}: 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’ »