Uniqueness of radial centers of parallel bodies
  We show the uniqueness of the radial centers of any order $\alpha$ of a parallel body of a convex body $\Omega$ in $\mathbb R^m$ at distance $\delta$ if $\delta$ is greater than the diameter of $\Omega$ multiplied by a constant which depends only on the dimension $m$. 
Jun O'Hara
math.MG math.DG