A pinching problem for symmetric spaces of rank one
type: Item
instance of: scholarly article
title: A pinching problem for symmetric spaces of rank one
zbMATH Open document ID: 0551.53030
author: Takao Yamaguchi
published in: Journal of the Mathematical Society of Japan
publication date: 1984-01-01T00:00:00Z
review text: This paper is a slight variation of some classical pinching theorems for symmetric spaces of rank one due to [\textit{J. Cheeger}, Am. J. Math. 91, 807-834 (1969; Zbl 0183.503)]. The method of proof is again essentially the same as in Cheeger's original work except for some technical refinements gleaned from Gromov's Compactness Theorem. The pinching assumption on the derivative of the curvature is, in the reviewer's opinion, unnecessarily strong.
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 3877918
zbMATH Keywords: injectivity radius
zbMATH Keywords: pinching theorems
zbMATH Keywords: symmetric spaces of rank one
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/03630419
OpenAlex ID: W1982466325
DOI: 10.2969/JMSJ/03630419
description: scientific article; zbMATH DE number 3877918