Spacelike Curves in the Lightlike Cone
In this paper, we study curves in the lightlike cone. First, we show that any curves in the lightlike cone are spacelike or lightlike, and then we characterize some curves with special cone curvature function in the 4, 5, and 6-dimensional lightlike cone. Finally, we consider the relationship between Frenet curvature functions and cone curvature functions for a spacelike curve on the lightlike cone.
N. Abazari et al., "Spacelike Curves in the Lightlike Cone," Applied Mathematics and Information Sciences, vol. 12, no. 6, pp. 1227-1236, Natural Sciences Publishing, Nov 2018.
The definitive version is available at https://doi.org/10.18576/amis/120618
Mathematics and Statistics
Keywords and Phrases
Asymptotic frame; Cone curvature; Lightlike cone; Spacelike curve
International Standard Serial Number (ISSN)
Article - Journal
© 2018 Natural Sciences Publishing, All rights reserved.
01 Nov 2018