Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620548 | Journal of Mathematical Analysis and Applications | 2009 | 14 Pages |
Abstract
We construct an example of a non-convex star-shaped origin-symmetric body D⊂R3 such that its section function AD,ξ(t):=area(D∩{ξ⊥+tξ}) is decreasing in t⩾0 for every fixed direction ξ∈S2.
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