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The Lower Dimensional Busemann-Petty Problem with Weights
Published online by Cambridge University Press: 21 December 2009
Abstract
The lower dimensional Busemann-Petty problem asks whether origin-symmetric convex bodies in ℝ n 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.
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- Research Article
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- Copyright © University College London 2006
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