Title of article
On a question of A. Koldobsky
Author/Authors
Goncharov، نويسنده , , Alexey and Ryabogin، نويسنده , , Dmitry، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
14
From page
313
To page
326
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 .
Keywords
Brunn–Minkowski theorem , Sections of convex bodies
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1559480
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