Singularities of tangent lightcone map of a timelike surface in Minkowski 4-space
Kong, Lingling ; Pei, Donghe
Tohoku Math. J. (2), Tome 61 (2009) no. 1, p. 455-473 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  Timelike surface,  tangent lightcone map,  tangent lightcone height function,  53A35,  58C27 
@article{1264084494,
     author = {Kong, Lingling and Pei, Donghe},
     title = {Singularities of tangent lightcone map of a timelike surface in Minkowski 4-space},
     journal = {Tohoku Math. J. (2)},
     volume = {61},
     number = {1},
     year = {2009},
     pages = { 455-473},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264084494}
}

Kong, Lingling; Pei, Donghe. Singularities of tangent lightcone map of a timelike surface in Minkowski 4-space. Tohoku Math. J. (2), Tome 61 (2009) no. 1, pp.  455-473. http://gdmltest.u-ga.fr/item/1264084494/