Mathematics – Differential Geometry
Scientific paper
2007-07-25
Mathematics
Differential Geometry
10 pages
Scientific paper
We define the notions of $S_t^1\times S_s^1$-valued lightcone Gauss maps, lightcone pedal surface and Lorentzian lightcone height function of Lorentzian surface in semi-Euclidean 4-space and established the relationships between singularities of these objects and geometric invariants of the surface as applications of standard techniques of singularity theory for the Lorentzian lightcone height function.
Kong Lingling
Pei Donghe
Sun Jianguo
Wang Qiangguo
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