On a reverse isoperimetric inequality for relative outer parallel bodies

2019/07/25 by Eugenia Saorín Gómez, Gómez, Eugenia Saorín, Jesús Yepes Nicolás +1
Mathematics · Medicine · #52A20 #52A40 #FOS: Mathematics #Metric Geometry (math.MG) #Morphological variations and asymmetry #Pharmacological Effects of Medicinal Plants #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1907.10871

openalex publication_date 2019/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show a reverse isoperimetric inequality within the class of relative outer parallel bodies, with respect to a general convex body E, along with its equality condition. Based on the convexity of the sequence of quermassintegrals of Minkowski sums we also prove further inequalities.

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