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

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Copyright © 2009 Tohoku University
Lingling Kong and Donghe Pei "Singularities of tangent lightcone map of a timelike surface in Minkowski 4-space," Tohoku Mathematical Journal 61(4), 455-473, (2009). https://doi.org/10.2748/tmj/1264084494
Published: 2009
Vol.61 • No. 4 • 2009
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