Stability of volume comparison for complex convex bodies

2011/02/20 by Alexander Koldobsky, Koldobsky, Alexander
Mathematics · #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.MG #msc:52A20

paper · pdf · doi:10.48550/arxiv.1102.4084

arxiv created 2011/02/20 · arxiv updated 2011/02/22

Abstract

We prove stability in the affirmative part of the Busemann-Petty problem on sections of complex convex bodies.

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• The modified complex Busemann-Petty problem on sections of convex bodies
• The complex Busemann-Petty problem on sections of convex bodies
• Modified Busemann-Petty problem on sections of convex bodies
• Comparison of volumes of convex bodies in real, complex, and quaternionic spaces
• The complex Busemann-Petty problem for arbitrary measures