3 problems

Let $\mathcal{C}=(C_1,\ldots,C_{n-1})$ be general convex bodies, and let $S_{B,\mathcal{C}}$ be their mixed area measure with the unit ball $B$. In the polytope setting, the suppor…

Let $\mathcal{C}=(C_1,\ldots,C_{n-1})$ be convex bodies in $\mathbb{R}^n$. A direction $u\in S^{n-1}$ is a $\mathcal{C}$-extreme normal direction if there are segments…

Let $\mathcal{C}=(C_1,\ldots,C_{n-1})$ be convex bodies in $\mathbb{R}^n$, and let $S_{B,\mathcal{C}}$ denote the mixed area measure associated with the unit ball $B$ and…