Hölder continuity of normal cycles and of support measures of convex bodies

2013/10/05 by Daniel Hug, Hug, Daniel, Rolf Schneider +1 · 1 citation
Mathematics · #52A20 #52A22 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.MG #msc:52A20 #msc:52A22

paper · pdf · doi:10.48550/arxiv.1310.1514

arxiv created 2013/10/05 · openalex publication_date 2013/10/05 · arxiv updated 2013/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide an estimate of the distance (in the dual flat seminorm) of the normal cycles of convex bodies with given Hausdorff distance. We also give an estimate (in the bounded Lipschitz metric) of the support measures of convex bodies.

Cited by

• Hölder continuity for support measures of convex bodies

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• Conic support measures
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