Comparison geometry with integral curvature bounds
type: Item
instance of: scholarly article
title: Comparison geometry with integral curvature bounds
zbMATH Open document ID: 0910.53030
author: S. D. Shteingold
author: Peter Petersen
author: Guofang Wei
published in: Geometric and Functional Analysis. GAFA
publication date: 1998-03-04T00:00:00Z
review text: The authors generalize a formula of Heintze and Karcher for the volume of normal tubes around geodesics to a situation where one has integral bounds for the sectional curvature. This formula leads to a generalization of Cheeger's lemma for the length of the shortest closed geodesic and to a generalization of the Grove-Petersen finiteness result to a situation where one has integral curvature bounds.
reviewed by: A. P. Stone
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 1123719
zbMATH Keywords: integral bounds for sectional curvature
zbMATH Keywords: length of shortest closed geodesic
zbMATH Keywords: volume of normal tubes around geodesics
zbMATH Keywords: finiteness
MaRDI profile type: Publication
full work available at URL: s000390050035
OpenAlex ID: W2077525083
DOI: 10.1007/S000390050035
description: scientific article; zbMATH DE number 1123719