Uniqueness of radial centers of parallel bodies

2011/09/23 by Jun O’Hara, Jun O'Hara, O'Hara, Jun · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #31C12 #51M16 #51P05 #52A40 #53A99 #53C65 #Differential Geometry (math.DG) #Diffusion and Search Dynamics #FOS: Mathematics #Metric Geometry (math.MG) #Point processes and geometric inequalities #Prion Diseases and Protein Misfolding #math.DG #math.MG #msc:31C12 #msc:51M16 #msc:51P05 #msc:52A40 #msc:53A99 #msc:53C65

paper · pdf · doi:10.48550/arxiv.1109.5069

13 pages, 8 figures

arxiv created 2011/09/23 · openalex publication_date 2011/09/23 · arxiv updated 2011/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show the uniqueness of the radial centers of any order α of a parallel body of a convex body Ω in \mathbb R^m at distance δ if δ is greater than the diameter of Ω multiplied by a constant which depends only on the dimension m.

Cited by

• Stationary radial centers and characterization of convex polyhedrons
• Experimental investigation on the uniqueness of a center of a body

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