Abstract of a paper by Fedor Nazarov, Dmitry Ryabogin and Artem Zvavitch
29 Dec
2011
29 Dec
'11
9:13 a.m.
This is an announcement for the paper "Non-uniqueness of convex bodies with prescribed volumes of sections and projections" by Fedor Nazarov, Dmitry Ryabogin and Artem Zvavitch. Abstract: We show that if $d\ge 4$ is even, then one can find two essentially different convex bodies such that the volumes of their maximal sections, central sections, and projections coincide for all directions. Archive classification: math.CA math.FA math.MG Mathematics Subject Classification: Primary: 52A20, 52A40, secondary: 52A38 Submitted from: zvavitch@math.kent.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1112.3976 or http://arXiv.org/abs/1112.3976
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