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A Generalized Affine Isoperimetric Inequality

2004/02/05 by Wenxiong Chen, Chen, Wenxiong, Ralph Howard +7
Mathematics · #52A40 (Primary) 52A10 53A15 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.CA #math.MG #msc:52A10 #msc:52A40 #msc:53A15

paper · pdf · doi:10.48550/arxiv.math/0402083

17 pages, LaTeX2e document

openalex publication_date 2004/02/05 · arxiv created 2004/03/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-Santalo inequality and the affine isoperimetric inequality of affine differential geometry.

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