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arXiv · 1104.3230

2-Degenerate Bertrand curves in Minkowski spacetime

Mehmet Göçmen·Sadık Keleş
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Abstract

In this paper we define a new type of 2-degenerate Cartan curves in Minkowski spacetime $R_{1}^{4}$. We prove that this type of curves contain only the polynomial functions as its components whose third derivative vanish completely. No curve with acceleration zero in $R_{1}^{4}$ is a 2-degenerate Cartan curve, therefore we show that the type of curves that we search for must contain polynomials of degree two among its components.

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Mehmet Göçmen, Sadık Keleş. 2011-04-16. 2-Degenerate Bertrand curves in Minkowski spacetime. https://arxiv.org/abs/1104.3230

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