On the geodesic connectedness of simply connected Lorentz surfaces
type: Item
instance of: scholarly article
title: On the geodesic connectedness of simply connected Lorentz surfaces
zbMATH Open document ID: 0901.53049
author: Mohammed Guediri
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 1998-11-29T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73540
review text: The main result of this paper asserts that any simply connected and globally hyperbolic Lorentzian surface is geodesically connected. However, it should be remarked that this claim is in contradiction with a counterexample given in Remark 1.3 of a paper by \textit{V. Benci}, \textit{D. Fortunato} and \textit{A. Masiello} [Math. Z. 217, 73-93 (1994; Zbl 0807.53054)], in which the geodesic connectedness is proved under an additional assumption on the growth at infinity.
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 1139507
zbMATH Keywords: geodesic completeness
zbMATH Keywords: global hyperbolicity
reviewed by: Wolfgang Kühnel
MaRDI profile type: Publication
OpenAlex ID: W2332419410
cites work: Q3913406
cites work: Compl�tude des m�triques lorentziennes de $$\mathbb{T}^2 $$ et diff�omorphismes du cercle
cites work: An analogue of the Riemann mapping theorem for Lorentz metrics
cites work: Q3312869
DOI: 10.5802/AFST.875
description: scientific article; zbMATH DE number 1139507