On reduced convex bodies
type: Item
instance of: scholarly article
title: On reduced convex bodies
zbMATH Open document ID: 0613.52010
DOI: 10.1007/BF02766127
published in: Israel Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The main author's result is the following: A reduced (convex) body \(K\subset R^ d\) is of constant width if it has a supporting sphere almost everywhere in \(\partial K\). This ''almost spherical convexity'' condition and the usual strict convexity one do not imply each other.
Mathematics Subject Classification ID: 52A55
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 3992336
zbMATH Keywords: reduced convex body
zbMATH Keywords: constant width
zbMATH Keywords: supporting sphere
zbMATH Keywords: strict convexity
author: B. V. Dekster
reviewed by: Mihai Turinici
MaRDI profile type: Publication
cites work: Reduced strictly convex plane figure is of constant width
cites work: Extremal convex sets
cites work: Q3871487
cites work: Q3887397
cites work: The curvature of most convex surfaces vanishes almost everywhere
description: scientific article; zbMATH DE number 3992336