Some Characterizations of Rectifying Spacelike Curves in the Minkowski Space-Time

Ahmad T. Ali; Mehmet Onder

Some Characterizations of Rectifying Spacelike Curves in the Minkowski Space-Time

Differential Geometry 2009-04-07 v1

Authors: Ahmad T. Ali , Mehmet Onder

Abstract

In this paper, we define a rectifying spacelike curve in the Minkowski space-time $E_1^4$ as a curve whose position vector always lies in orthogonal complement $N^{\bot}$ of its principal normal vector field $N$ . In particular, we study the rectifying spacelike curves in $E_1^4$ and characterize such curves in terms of their curvature functions.

Keywords

rectifying curve spacelike curve Minkowski space-time position vector curvature function

Cite

@article{arxiv.0904.0655,
  title  = {Some Characterizations of Rectifying Spacelike Curves in the Minkowski Space-Time},
  author = {Ahmad T. Ali and Mehmet Onder},
  journal= {arXiv preprint arXiv:0904.0655},
  year   = {2009}
}

Comments

11 pages only

Related papers

View all related →