Abstract

We construct an example of a non-convex star-shaped origin-symmetric body D ⊂ R 3 such that its section function A D , ξ ( t ) : = area ( D ∩ { ξ ⊥ + t ξ } ) is decreasing in t ⩾ 0 for every fixed direction ξ ∈ S 2 .

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call