English

$(1,2)$-Null Bertrand Curves in Minkowski Spacetime

Differential Geometry 2011-02-01 v1

Abstract

In this paper we study null Bertrand curves in R14R_{1}^{4} under the assumption the curve has a Cartan frame. We show that if the derivative vectors of the null Cartan curve in R14R_{1}^{4} is linearly independent, then this curve is not a Bertrand curve. Since then the already known notion of null Bertrand curves in R14R_{1}^{4} occurs only if the derivative vectors of the curve is linearly dependent. We will introduce an idea of Bertrand curves and abiding by this idea we bring to light under which conditions a null Cartan curve in R14R_{1}^{4} is a Bertrand curve.

Cite

@article{arxiv.1101.5935,
  title  = {$(1,2)$-Null Bertrand Curves in Minkowski Spacetime},
  author = {Mehmet Göçmen and Sadık Keleş},
  journal= {arXiv preprint arXiv:1101.5935},
  year   = {2011}
}

Comments

12 pages

R2 v1 2026-06-21T17:19:17.098Z