On convex bodies with rotationally symmetric planar projections

Sergii Myroshnychenko, Dmitry Ryabogin, Christos Saroglou

Let $n\ge 3$ and let $K\subset {\mathbb{R}}^n$ be a convex body. For a two-dimensional linear subspace $P\subset {\mathbb{R}}^n$, let $K|P$ be the orthogonal projection of $K$ onto $P$. We…