The lightcone Gauss map and the lightconedevelopable of a spacelike curve in Minkowski 3-space
Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 75-89
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We define the notion of lightcone Gauss maps,lightcone pedal curves and lightcone developables of spacelike curves inMinkowski 3-space and establish the relationships between singularities of theseobjects and geometric invariants of curves under the action of the Lorentzgroup.
Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi. The lightcone Gauss map and the lightconedevelopable of a spacelike curve in Minkowski 3-space. Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 75-89. doi: 10.1017/S0017089500010107
@article{10_1017_S0017089500010107,
author = {Izumiya, Shyuichi and Pei, Donghe and Sano, Takasi},
title = {The lightcone {Gauss} map and the lightconedevelopable of a spacelike curve in {Minkowski} 3-space},
journal = {Glasgow mathematical journal},
pages = {75--89},
year = {2000},
volume = {42},
number = {1},
doi = {10.1017/S0017089500010107},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500010107/}
}
TY - JOUR AU - Izumiya, Shyuichi AU - Pei, Donghe AU - Sano, Takasi TI - The lightcone Gauss map and the lightconedevelopable of a spacelike curve in Minkowski 3-space JO - Glasgow mathematical journal PY - 2000 SP - 75 EP - 89 VL - 42 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500010107/ DO - 10.1017/S0017089500010107 ID - 10_1017_S0017089500010107 ER -
%0 Journal Article %A Izumiya, Shyuichi %A Pei, Donghe %A Sano, Takasi %T The lightcone Gauss map and the lightconedevelopable of a spacelike curve in Minkowski 3-space %J Glasgow mathematical journal %D 2000 %P 75-89 %V 42 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500010107/ %R 10.1017/S0017089500010107 %F 10_1017_S0017089500010107
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