Stability and slicing inequalities for intersection bodies

2011/08/12 by Alexander Koldobsky, Dan Ma, Koldobsky, Alexander +1
Mathematics · #52A20 #Analytic and geometric function theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1108.2631

openalex publication_date 2011/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a generalization of the hyperplane inequality for intersection bodies, where volume is replaced by an arbitrary measure μ with even continuous density and sections are of arbitrary dimension n-k, 1≤ k 0, 1≤ k

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