Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898775 | Journal of Geometry and Physics | 2009 | 19 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Shyuichi Izumiya, María del Carmen Romero Fuster, Kentaro Saji,