A sufficient condition for one convex body containing another
type: Item
instance of: scholarly article
title: A sufficient condition for one convex body containing another
zbMATH Open document ID: 0684.53004
author: Gaoyong Zhang
published in: Chinese Annals of Mathematics. Series B
publication date: 1988-01-01T00:00:00Z
review text: Let \(K_ 1\) and \(K_ 2\) be \(C^ 2\) convex bodies. By considering the volumes, areas and mean curvatures of these bodies, the author obtains an estimate for the kinematic measure of one body moving in another. From this estimate follows a sufficient condition for \(K_ 1\subset K_ 2\) or \(K_ 2\subset K_ 1\).
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 52A15
Mathematics Subject Classification ID: 53C65
zbMATH DE Number: 4120911
zbMATH Keywords: convex bodies
zbMATH Keywords: volumes
zbMATH Keywords: areas
zbMATH Keywords: mean curvatures
zbMATH Keywords: kinematic measure
reviewed by: T. Bisztriczky
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4120911