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In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.
Liang Chen. "Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space." Open Mathematics 14.1 (2016): 889-896. <http://eudml.org/doc/287083>.
@article{LiangChen2016, abstract = {In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.}, author = {Liang Chen}, journal = {Open Mathematics}, keywords = {Singularities; Spacelike curve; Pedal curve; Height function; Contact; singularities; space-like curve; pedal curve; height function; contact}, language = {eng}, number = {1}, pages = {889-896}, title = {Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space}, url = {http://eudml.org/doc/287083}, volume = {14}, year = {2016}, }
TY - JOUR AU - Liang Chen TI - Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space JO - Open Mathematics PY - 2016 VL - 14 IS - 1 SP - 889 EP - 896 AB - In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint. LA - eng KW - Singularities; Spacelike curve; Pedal curve; Height function; Contact; singularities; space-like curve; pedal curve; height function; contact UR - http://eudml.org/doc/287083 ER -