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);
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.
|Uncontrolled Keywords:|| Flat lightlike hypersurface, lightlike flat spacelike surface, Lorentz-Minkowski space, Legendrian singularities|
|Subjects:||53-xx DIFFERENTIAL GEOMETRY|