The complex Busemann-Petty problem on sections of convex bodies
Functional Analysis
2007-07-27 v1 Metric Geometry
Abstract
The complex Busemann-Petty problem asks whether origin symmetric convex bodies in with smaller central hyperplane sections necessarily have smaller volume. We prove that the answer is affirmative if and negative if
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Cite
@article{arxiv.0707.3851,
title = {The complex Busemann-Petty problem on sections of convex bodies},
author = {A. Koldobsky and H. König and M. Zymonopoulou},
journal= {arXiv preprint arXiv:0707.3851},
year = {2007}
}
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18 pages