On the filling radius of positively curved Alexandrov spaces
type: Item
instance of: scholarly article
title: On the filling radius of positively curved Alexandrov spaces
zbMATH Open document ID: 1266.53045
author: Takumi Yokota
published in: Mathematische Zeitschrift
publication date: 2013-02-06T00:00:00Z
review text: The notion of filling radius was introduced in [\textit{M. Gromov}, J. Differ. Geom. 18, 1--147 (1983; Zbl 0515.53037)]. In the paper under review, the author proves that if a positively curved closed Alexandrov space \(X\) is not isometric to the round sphere, then the filling radius of \(X\) is less than the round sphere's filling radius. This result generalizes the theorem of \textit{F. H. Wilhelm jun.} [Invent. Math. 107, No. 3, 653--668 (1992; Zbl 0729.53044)] for positively curved Riemannian manifolds.
reviewed by: Yuguang Zhang
Mathematics Subject Classification ID: 53C23
zbMATH DE Number: 6134697
zbMATH Keywords: Alexandrov space
zbMATH Keywords: filling radius
zbMATH Keywords: packing radius
zbMATH Keywords: positively curved
MaRDI profile type: Publication
full work available at URL: s00209-012-0999-7
OpenAlex ID: W2035666606
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DOI: 10.1007/S00209-012-0999-7
description: scientific article; zbMATH DE number 6134697