Tohoku Mathematical Journal
2009
December
SECOND SERIES VOL. 61, NO. 4

Tohoku Math. J.
61 (2009), 455-473

Title SINGULARITIES OF TANGENT LIGHTCONE MAP OF A TIMELIKE SURFACE IN MINKOWSKI 4-SPACE

Author Lingling Kong and Donghe Pei

(Received January 21, 2008, revised May 18, 2009)
Abstract. In the paper, we will define tangent lightcone map, tangentlightcone curvature and tangent lightcone height function. Then we study the geometry of the timelike surfaces in Minkowski 4-space through their contact with spacelike hyperplane and give the classification of singularities of tangent lightcone map based on the Legendrian singularity theory of Arnol'd.

2000 Mathematics Subject Classification. Primary 53A35; Secondary 58C27.
Key words and phrases. Timelike surface, tangent lightcone map, tangent lightcone height function.

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