The lower dimensional Busemann-Petty problem with weights

Boris Rubin

doi:10.1112/s0025579300000115

The lower dimensional Busemann-Petty problem with weights

Boris Rubin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The lower dimensional Busemann-Petty problem asks whether origin-symmetric convex bodies in ℝⁿ with smaller i-dimensional central sections necessarily have smaller volume. A generalization of this problem is studied, when the volumes are measured with weights satisfying certain conditions. The case of hyperplane sections (i = n - 1) has been studied by A. Zvavitch.

Original language	English
Pages (from-to)	235-245
Number of pages	11
Journal	Mathematika
Volume	53
Issue number	2
DOIs	https://doi.org/10.1112/s0025579300000115
State	Published - Dec 2006
Externally published	Yes

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The lower dimensional Busemann-Petty problem with weights

Abstract

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