Minimal annulus of a convex body
The author proves that most convex bodies in the plane have precisely 2 points of the boundary on each of the two circumferences which bound their minimal annulus. ``Most'' means that the convex bodies not enjoying the previous property form a meager set in the space of all convex bodies of the plane endowed with the Hausdorff metric.
scientific article; zbMATH DE number 4058315