• Singularities of generic lightcone Gauss maps and lightcone pedal surfaces of spacelike curves in Minkowski 4-space, Vol 36, No.3

Authors: Kong Lingling, School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R.China (KongLL111@nenu.edu.cn),  Gao Ruimei, School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R.China (gaorm135@nenu.edu.cn), Pei Donghe, School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R.China (peidh340@nenu.edu.cn), and Zhang Jianhua, Department of Mathematics, Yili Teacher's College, Yili 835000, P.R.China.
Singularities of generic lightcone Gauss maps and lightcone pedal surfaces of spacelike curves in Minkowski 4-space , pp. 697-710.
ABSTRACT. The main goal of this paper is to study singularities of generic lightcone Gauss maps and lightcone pedal surfaces of spacelike curves in Minkowski 4-space. To do this, we first construct lightcone height functions and extended lightcone height functions, and then show the relations between singularities of generic lightcone Gauss maps(resp. lightcone pedal surfaces) and that of lightcone height functions (resp. extended lightcone height functions). In addition some geometric properties of the spacelike curves are studied from geometrical point of view.
Editorial Addendum concerning an error in this paper.

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Singularities of generic lightcone Gauss maps and lightcone pedal surfaces of spacelike curves in Minkowski 4-space, Vol 36, No.3

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