The affine subspace concentration inequality for centered convex bodies

2024/07/25 by Eller, Katharina, Freyer, Ansgar
#FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2407.17799

Abstract

An affine version of the linear subspace concentration inequality as proposed by Wu is established for centered convex bodies. This generalizes results from Wu and Freyer, Henk, Kipp on polytopes to convex bodies.

Related

• Affine Subspace Concentration Conditions for Centered Polytopes
• Subspace concentration of dual curvature measures
• On subspace concentration for dual curvature measures
• Cone-volume measure and stability
• Necessary subspace concentration conditions for the even dual Minkowski problem