2 problems

Let $b$ be a prescribed brightness, and consider convex bodies of revolution in three-dimensional space with constant brightness $b$. Campi–Colesanti–Gronchi conjecture. The body c…

Let $b$ be a prescribed brightness, and let $K$ be a convex body in $\mathbb{R}^3$. Its surface area measure has density $s_K$ when … for Borel sets $H\subset\mathcal{S}^2$. Consid…