Three-dimensional semi-symmetric homogeneous Lorentzian manifolds
type: Item
instance of: scholarly article
title: Three-dimensional semi-symmetric homogeneous Lorentzian manifolds
zbMATH Open document ID: 1199.53135
published in: Acta Mathematica Hungarica
publication date: 2009-12-28T00:00:00Z
review text: It is known that a locally homogeneous semi-symmetric Riemanian manifold (i.e. with \(R(X,Y)\cdot R=0)\) is locally symmetric (i.e. with \(\nabla R=0)\). The problem is, can this be extended to the pseudo-Riemannian case and in particular, to Lorentzian geometry. In the present paper there are found some three-dimensional homogeneous Lorentzian manifolds which are semi-symmetric but not symmetric. Also the complete classification of three-dimensional semi-symmetric homogeneous Lorentzian manifolds is obtained. In a forthcoming paper the author will classify the three-dimensional conformally flat semi-symmetric Lorentzian manifolds.
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 5651851
zbMATH Keywords: Lorentzian homogeneous spaces
zbMATH Keywords: semi-symmetric spaces
zbMATH Keywords: symmetric spaces
author: Giovanni Calvaruso
MaRDI profile type: Publication
full work available at URL: s10474-008-7194-7
OpenAlex ID: W2046330349
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DOI: 10.1007/S10474-008-7194-7
description: scientific article; zbMATH DE number 5651851