A volume inequality for polar bodies
type: Item
instance of: scholarly article
title: A volume inequality for polar bodies
zbMATH Open document ID: 1198.52005
author: Erwin Lutwak
author: Deane Yang
author: Gaoyong Zhang
published in: Journal of Differential Geometry
publication date: 2010-06-22T00:00:00Z
review text: A sharp affine isoperimetric inequality is established which gives a sharp lower bound for the volume of the polar body. It is shown that equality occurs in the inequality if and only if the body is a simplex.
reviewed by: Anatoliy Milka
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 5724751
zbMATH Keywords: convex body
zbMATH Keywords: polar body
zbMATH Keywords: Mahler conjecture
zbMATH Keywords: affine isoperimetric inequality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1271271796
OpenAlex ID: W1572394647
Wikidata QID: Q115171383
DOI: 10.4310/JDG/1271271796
description: scientific article; zbMATH DE number 5724751