Dept. Math, Hokkaido Univ. EPrints Server

Flat Lightlike Hypersurfaces in Lorentz-Minkowski 4-space

Preprint Series # 918
Izumiya, Shyuichi and Romero Fuster, Maria del Carmen and Saji, Kentaro Flat Lightlike Hypersurfaces in Lorentz-Minkowski 4-space. (2008);

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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.

Item Type:Preprint
Additional Information:30
Uncontrolled Keywords: Flat lightlike hypersurface, lightlike flat spacelike surface, Lorentz-Minkowski space, Legendrian singularities
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:1881