Spacelike Curves in the Lightlike Cone

Authors

Nemat Abazari, Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil 56199-11367, IranFollow
Martin Bohner, Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, Missouri 65409-0020, USAFollow
Ilgın Sager, Department of Mathematics and Computer Science, University of Missouri–St. Louis, St. Louis, Missouri 63121, USAFollow
Alireza Sedaghatdoost, Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil 56199-11367, IranFollow

Author Country (or Countries)

Iran

Abstract

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120618

Recommended Citation

Abazari, Nemat; Bohner, Martin; Sager, Ilgın; and Sedaghatdoost, Alireza (2018) "Spacelike Curves in the Lightlike Cone," Applied Mathematics & Information Sciences: Vol. 12: Iss. 6, Article 18.
DOI: http://dx.doi.org/10.18576/amis/120618
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss6/18