Tohoku Mathematical Journal
2006
March
SECOND SERIES VOL. 58, NO. 1

Tohoku Math. J.
58 (2006), 71-88

Title SINGULARITIES OF LIGHTLIKE HYPERSURFACES IN MINKOWSKI FOUR-SPACE

Author Shyuichi Izumiya, Marek Kossowski, Donghe Pei and M. Carmen Romero Fuster

(Received January 15, 2004, revised April 18, 2005)
Abstract. We classify singularities of lightlike hypersurfaces in Minkowski 4-space via the contact invariants for the corresponding spacelike surfaces and lightcones.

2000 Mathematics Subject Classification. Primary 53A35; Secondary 58C27.
Key words and phrases. Lightlike hypersurface, spacelike surface, lightcone, Lorentzian distance-squared function.

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