Work

On the Reverse Projection Inequality

Year: 2026

Type: preprint

Abstract: In \cite {ChenFengLiXiXu2026}, a reverse projection inequality for general convex bodies was established in three dimensions. In this paper, we completely characterize the equality cases of this inequality. We further show that the reverse projection inequality fails in every dimension $n\geq9$. The counterexamples are constructed as full-dimensional polytopes with at most $n+2$ facets. \end{abstract}

Source: arXiv (Cornell University)

DOI: 10.13140/rg.2.2.30721.21604

Authors: Yibin Feng, Shengnan Hu, Weiru Liu, Lei Xu

Institutions: Lanzhou University, Hunan Normal University, Central China Normal University, Zhongnan University of Economics and Law

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7203903934

Cites: 1

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Related to: 10