On tori without conjugate points
type: Item
instance of: scholarly article
title: On tori without conjugate points
zbMATH Open document ID: 0842.53028
DOI: 10.1007/BF01241128
author: Christopher B. Croke
author: Bruce Kleiner
published in: Inventiones Mathematicae
publication date: 1995-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/144275
review text: The authors prove that a Riemannian metric on the \(n\)-torus is flat if it does not have conjugate points and the corresponding Heber foliation is Lipschitz. This is a special case of the so-called Hopf conjecture, which was proved recently by \textit{D. Burago} and \textit{S. Ivanov} [Geom. Funct. Anal. 4, No. 3, 259-269 (1994; Zbl 0808.53038)].
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 784001
zbMATH Keywords: flat torus
zbMATH Keywords: conjugate points
zbMATH Keywords: Hopf conjecture
reviewed by: Werner Ballmann
MaRDI profile type: Publication
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OpenAlex ID: W1973935510
description: scientific article; zbMATH DE number 784001