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The generalized Busemann-Petty problem with weights

Rubin Boris
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Abstract

The generalized Busemann-Petty problem asks whether origin-symmetric convex bodies with lower-dimensional smaller sections necessarily have smaller volume. We study the weighted version of this problem corresponding to the physical situation when bodies are endowed with mass distribution and the relevant sections are measured with attenuation.

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Rubin Boris. 2005-05-30. The generalized Busemann-Petty problem with weights. https://arxiv.org/abs/math/0505665

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