Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space
type: Item
instance of: scholarly article
title: Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space
zbMATH Open document ID: 1188.53056
author: Shyuichi Izumiya
author: Kentaro Saji
author: María Del Carmen Romero Fuster
published in: Journal of Geometry and Physics
publication date: 2009-11-11T00:00:00Z
review text: The authors deal with the flat light-like hypersurfaces in Lorentz-Minkowski 4-spaces, with specific attention to the study of their singilarities in which a classification has been given. They prove that the generic singularities are the suspended cuspidal edge, the suspended swallowtail, the suspended cuspidal cross cap and the \(A_{4}\)-type hypersurface singularity. The authors also observe that the suspended cuspidal cross cap does not appear as a generic singularity in the general case of light-like hypersurfaces. Finally, they end the paper by classifying generic singularities of flat space-like surfaces with partially parallel normal frame.
reviewed by: Fortuné Massamba
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 58K05
Mathematics Subject Classification ID: 53A35
zbMATH DE Number: 5629456
zbMATH Keywords: flat lightlike hypersurface
zbMATH Keywords: lightlike flat spacelike surface
zbMATH Keywords: Lorentz-Minkowski space
zbMATH Keywords: Legendrian singularities
MaRDI profile type: Publication
full work available at URL: j.geomphys.2009.07.017
OpenAlex ID: W2020086505
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DOI: 10.1016/J.GEOMPHYS.2009.07.017
description: scientific article; zbMATH DE number 5629456