Subspace concentration of dual curvature measures
Karoly J. Boroczky, Martin Henk, Hannes Pollehn
TL;DR
This paper establishes a precise inequality demonstrating how dual curvature measures of symmetric convex bodies are concentrated within subspaces, advancing understanding in convex geometry.
Contribution
It introduces a tight subspace concentration inequality for dual curvature measures of symmetric convex bodies, a novel result in convex geometric analysis.
Findings
Proves a tight subspace concentration inequality
Advances understanding of dual curvature measures
Provides new tools for convex geometric analysis
Abstract
We prove a tight subspace concentration inequality for the dual curvature measures of a symmetric convex body.
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Taxonomy
TopicsPoint processes and geometric inequalities · Prion Diseases and Protein Misfolding