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math.DG2024
Cuspidal edges and generalized cuspidal edges in the Lorentz-Minkowski 3-space
T. Fukui, R. Kinoshita, D. Pei +2
It is well-known that every cuspidal edge in the Euclidean space E^3 cannot have a bounded mean curvature function. On the other hand, in the Lorentz-Minkowski space L^3, zero mean…
math.DG2007
-valued lightcone Gauss map of a Lorentzian surface in semi-Euclidean 4-space
Donghe Pei, Lingling Kong, Jianguo Sun +1
We define the notions of -valued lightcone Gauss maps, lightcone pedal surface and Lorentzian lightcone height function of Lorentzian surface in semi-Euclidean 4…