Minimal annulus of a convex body
type: Item
instance of: scholarly article
title: Minimal annulus of a convex body
zbMATH Open document ID: 0648.52001
DOI: 10.1007/BF01197977
author: Andreana Zucco
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: The author proves that most convex bodies in the plane have precisely 2 points of the boundary on each of the two circumferences which bound their minimal annulus. ``Most'' means that the convex bodies not enjoying the previous property form a meager set in the space of all convex bodies of the plane endowed with the Hausdorff metric.
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 28A05
zbMATH DE Number: 4058315
zbMATH Keywords: Baire category
zbMATH Keywords: convex bodies
zbMATH Keywords: minimal annulus
zbMATH Keywords: meager set
MaRDI profile type: Publication
cites work: Minimal ellipsoids and their duals
cites work: Q3689014
cites work: Inscribed and Circumscribed Circles to Convex Curves
cites work: Q3736454
full work available at URL: https://doi.org/10.1007/bf01197977
OpenAlex ID: W1979192849
description: scientific article; zbMATH DE number 4058315