On the structure of convex sets with applications to the moduli of spherical minimal immersions
type: Item
instance of: scholarly article
title: On the structure of convex sets with applications to the moduli of spherical minimal immersions
zbMATH Open document ID: 1167.52008
published in: Beiträge zur Algebra und Geometrie
publication date: 2008-09-22T00:00:00Z
full work available at URL: https://eudml.org/doc/222697
full work available at URL: 14.html
review text: In the paper under review, the author studies some properties of certain affine invariant measures of symmetry associated to a compact convex body \(\mathcal{L}\) in \(\mathbb{R}^n\) introduced in his earlier paper [Trans. Am. Math. Soc. 358, No. 6, 2425--2446 (2006; Zbl 1108.53032)]. As functions of the interior of \(\mathcal{L}\), these measures of symmetry are proved or disproved to be concave in some specific situations. Some applications for the DoCarmo-Wallach moduli space of spherical minimal immersions are obtained.
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 5345502
zbMATH Keywords: convex set
zbMATH Keywords: measures of symmetry
zbMATH Keywords: spherical minimal immersion
author: Gábor Tóth
reviewed by: Yurii G. Nikonorov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5345502