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arXiv · 0707.3687

$S_t^1\times S_s^1$-valued lightcone Gauss map of a Lorentzian surface in semi-Euclidean 4-space

Donghe Pei·Lingling Kong·Jianguo Sun·Qi Wang
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Abstract

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.

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Donghe Pei, Lingling Kong, Jianguo Sun, Qi Wang. 2007-07-25. $S_t^1\times S_s^1$-valued lightcone Gauss map of a Lorentzian surface in semi-Euclidean 4-space. https://arxiv.org/abs/0707.3687

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