A classification of Einstein lightlike hypersurfaces of a Lorentzian space form
type: Item
instance of: scholarly article
title: A classification of Einstein lightlike hypersurfaces of a Lorentzian space form
zbMATH Open document ID: 1207.53064
author: Krishan Lal Duggal
author: Dae Ho Jin
published in: Journal of Geometry and Physics
publication date: 2010-11-25T00:00:00Z
review text: A classical result due to Fialkow and Thomas deals with the classification of connected Einstein hypersurfaces in \(\mathbb R^{n+1}\). The present paper is aimed at providing a light-like version of the above classical result. Indeed, the authors study light-like hypersurfaces of a distinguished family of semi-Riemannian manifolds of constant curvature. As main result, the authors obtain a classification of Einstein light-like hypersurfaces of Lorentzian space forms.
reviewed by: Marco Modugno
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 5819526
zbMATH Keywords: lightlike hypersurfaces
zbMATH Keywords: screen distribution
zbMATH Keywords: Lorentzian space forms
zbMATH Keywords: Einstein manifolds
MaRDI profile type: Publication
full work available at URL: j.geomphys.2010.07.005
OpenAlex ID: W2020971778
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cites work: Light-like Einstein hypersurfaces in Lorentzian manifolds with constant curvature
DOI: 10.1016/J.GEOMPHYS.2010.07.005
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description: scientific article; zbMATH DE number 5819526