On Lorentz manifolds with essential conformal group
type: Item
instance of: scholarly article
title: On Lorentz manifolds with essential conformal group
zbMATH Open document ID: 1085.53061
author: Charles Frances
published in: Mathematische Annalen
publication date: 2005-05-12T00:00:00Z
review text: The author constructs compact Lorentzian manifolds \((M,g)\) the conformal group of which is essential, i.e. not the isometry group of a manifold conformal to \((M,g)\). He shows this for quotients of the Einstein universe \(S^1\times S^{n-1}\), the connected sum of \(g\) copies of \(S^1\times S^{n-2}\), and for \(S^1\times\Sigma_g\). Here \(S^n\) denotes the round \(n\)-sphere and \(\Sigma_g\) an oriented surface of genus \(g\). The Lorentzian case is in contrast with the Ferrand-Obata theorem for the Riemannian case.
reviewed by: Rainer Schimming
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 2168072
zbMATH Keywords: Lorentzian manifold
zbMATH Keywords: conformal group
zbMATH Keywords: Einstein universe
MaRDI profile type: Publication
full work available at URL: s00208-004-0619-x
OpenAlex ID: W2027025553
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DOI: 10.1007/S00208-004-0619-X
description: scientific article; zbMATH DE number 2168072