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arXiv · 2111.10729

Mean width inequalities of sections and projections for isotropic measures

Ai-Jun Li·Qingzhong Huang
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Abstract

In this paper, we establish mean width inequalities of sections and projections of convex bodies for isotropic measures with complete equality conditions, which extends the recent work of Alonso-Guti\'{e}rrez and Brazitikos. Different from their approach, our proof is based on the approach developed by Lutwak, Yang and Zhang, by using the Ball-Barthe inequality, the mass transportation, and the isotropic embedding.

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Ai-Jun Li, Qingzhong Huang. 2021-11-21. Mean width inequalities of sections and projections for isotropic measures. https://arxiv.org/abs/2111.10729

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