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The Santalo-regions of a convex body

1997/07/05 by Mathieu Meyer, Meyer, Mathieu, Elisabeth M. Werner +1
Mathematics · Biochemistry, Genetics and Molecular Biology · #Point processes and geometric inequalities #Prion Diseases and Protein Misfolding

paper · pdf · doi:10.48550/arxiv.math/9707209

Abstract

Motivated by the Blaschke-Santaló inequality, we define for a convex body K in \bf Rn and for t ∈ \bf R the Santaló-regions S(K,t) of K. We investigate properties of these sets and relate them to a concept of Affine Differential Geometry, the affine surface area of K.

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