BIRS Workshop Lecture Videos
On bodies with congruent sections by cones or non-central planes Zhang, Ning
Gardner and Golubyatnikov asked whether two continuous functions on the sphere coincide up to reflection in the origin if their restrictions to any great circle coincide after some rotation. In this talk we will discuss two modifications of this problem. Let $K$ and $L$ be convex bodies in $\mathbb R^3$ such that their sections by cones or non-central planes are directly congruent. We will show that if their boundaries are of class $C^2$, then $K$ and $L$ coincide.
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