Singularities of lightlike hypersurfaces in Minkowski four-space
Copyright policy )Singularities of lightlike hypersurfaces in Minkowski four-space
The authors classify the singularities of light-like hypersurfaces in Minkowski space, in terms of the contact invariants for space-like surfaces and lightcones. They use the Lorentzian distance-squared function on space-like surfaces and Montaldi's characterization of submanifolds contact in terms of \(\mathcal K\)-equivalence. The results still rest valid on sufficiently small neighborhoods in any Lorentzian manifold.
- Hokkaido Bunkyo University Japan
- University of Valencia Spain
- Hokkaido University Japan
- Northeast Normal University China (People's Republic of)
- University of South Carolina United States
Local submanifolds, Lightlike hypersurface, Local differential geometry of Lorentz metrics, indefinite metrics, spacelike surface, lightcone, space-like surface, 414, 53A35, 58C27, Lorentzian distance-squared function, eikonal equation, light-like hypersurface
Local submanifolds, Lightlike hypersurface, Local differential geometry of Lorentz metrics, indefinite metrics, spacelike surface, lightcone, space-like surface, 414, 53A35, 58C27, Lorentzian distance-squared function, eikonal equation, light-like hypersurface
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