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.
Citation
Lingling Kong. Donghe Pei. "Singularities of tangent lightcone map of a timelike surface in Minkowski 4-space." Tohoku Math. J. (2) 61 (4) 455 - 473, 2009. https://doi.org/10.2748/tmj/1264084494
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