Convex Bodies With Minimal Volume Product in R² --- A New Proof

2010/03/10 by Youjiang Lin, Lin, Youjiang
Biochemistry, Genetics and Molecular Biology · Mathematics · #52A10 #52A40 #Diffusion and Search Dynamics #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1005.3739

openalex publication_date 2010/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a new proof of the following result is given: The product of the volumes of an origin symmetric convex bodies K in R² and of its polar body is minimal if and only if K is a parallelogram.

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