Convex solids with hyperplanar midsurfaces for restricted families of chords
type: Item
instance of: scholarly article
zbMATH Open document ID: 1244.52008
author: Valeriu Soltan
publication date: 2012-05-10T00:00:00Z
full work available at URL: http://www.math.md/publications/basm/issues/y2011-n2/10908/
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 6032558
zbMATH Keywords: convex quadric hypersurfaces
zbMATH Keywords: convex quadrics
zbMATH Keywords: midsurfaces of convex solids
zbMATH Keywords: plane quadric sections
MaRDI profile type: Publication
title: Convex solids with hyperplanar midsurfaces for restricted families of chords
published in: Buletinul Academiei de Științe a Republicii Moldova. Matematica
review text: A new characteristic property of convex quadric hypersurfaces (convex quadrics) in~\(\mathbb R^n\) is obtained in terms of hyperplanarity of midsurfaces of convex solids (\(n\)-dimensional closed convex sets distinct from~\(\mathbb R^n\)) for restricted families of chords. These properties are based on various auxiliary characterizations of convex quadrics that involve hyperplane supports and plane quadric sections.
reviewed by: A. R. Alimov
description: scientific article; zbMATH DE number 6032558