A note on Bourgain-Milman's universal constant

2014/04/30 by Alina Stancu, Stancu, Alina
Mathematics · #52A40 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.DG #math.MG #msc:52A40

paper · pdf · doi:10.48550/arxiv.1404.7811

8 pages; The proof of Theorem 1.2 of the previous version contained an error and hence was eliminated

openalex publication_date 2014/04/30 · arxiv created 2014/05/31 · arxiv updated 2014/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present note is a result of an on-going investigation into the logarithmic Brunn-Minkowski inequality. We obtain lower estimates on the volume product for convex bodies in ℝⁿ not necessarily symmetric with respect to the origin from a modified logarithmic Brunn-Minkowski inequality.

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