The complex Busemann-Petty problem on sections of convex bodies

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The complex Busemann-Petty problem asks whether origin symmetric convex bodies in $\C^n$ with smaller central hyperplane sections necessarily have smaller volume. We prove that the answer is affirmative if $n\le 3$ and negative if $n\ge 4.$
18 pages

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Functional Analysis, Metric Geometry, 52A20

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http://salesiana.dossiersoluciones.com/handle/123456789/135064

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3851
 http://arxiv.org/abs/0707.3851

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arXiv