English

Position vectors of a spacelike general helices in Minkowski Space $\e_1^3$

Differential Geometry 2009-08-04 v1

Abstract

In this paper, position vector of a spacelike general helix with respect to standard frame in Minkowski space E13^3_1 are studied in terms of Frenet equations. First, a vector differential equation of third order is constructed to determine position vector of an arbitrary spacelike general helix. In terms of solution, we determine the parametric representation of the general helices from the intrinsic equations. Moreover, we give some examples to illustrate how to find the position vectors of a spacelike general helices with a spacelike and timelike principal normal vector from the intrinsic equations.

Keywords

Cite

@article{arxiv.0908.0041,
  title  = {Position vectors of a spacelike general helices in Minkowski Space $\e_1^3$},
  author = {Ahmad T Ali},
  journal= {arXiv preprint arXiv:0908.0041},
  year   = {2009}
}

Comments

15 pages, 3 figures