Flat Lightlike Hypersurfaces in Lorentz-Minkowski 4-space


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84067

Title:	Flat Lightlike Hypersurfaces in Lorentz-Minkowski 4-space
Authors:	Izumiya, Shyuichi Browse this author
	Romero Fuster, Maria del Carmen Browse this author
	Saji, Kentaro Browse this author
Keywords:	Flat lightlike hypersurface
	lightlike flat spacelike surface
	Lorentz-Minkowski space
	Legendrian singularities
Issue Date:	12-Jul-2008
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	918
Start Page:	1
End Page:	28
Abstract:	The lightlike hypersurfaces in Lorentz-Minkowski space are of special interest in Relativity Theory. In particular, the singularities of these hypersurfaces provide good models for the study of different horizon types. We introduce the notion of flatness for these hypersurfaces and study their singularities. The classification result asserts that a generic classification of flat lightlike hypersurfaces is quite different from that of generic lightlike hypersurfaces.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69725
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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