2022
DOI: 10.47000/tjmcs.1007681
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Bertrand Curves and B-Lift Curves in Lorentzian 3-Space

Abstract: In this article, based on Thorpe’s definition, we define a new curve called the B-lift curve in Lorentzian 3-space and examine the Frenet vectors of the B-lift curve. Furthermore, we examine the relationship between the Frenet vectors of the Bertrand curve and the Frenet vectors of the natural lift curve. Finally, we give an example on these results.

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“…The curves are interpreted geometrically with the help of a frame in different spaces. There are many studies about curves and especially special curves in 4 2 [1][2][3][4][5][6][7]. The semi-Euclidean space 4 2 is the standard vector space given with the metric ,…”
Section: Introductionmentioning
confidence: 99%
“…The curves are interpreted geometrically with the help of a frame in different spaces. There are many studies about curves and especially special curves in 4 2 [1][2][3][4][5][6][7]. The semi-Euclidean space 4 2 is the standard vector space given with the metric ,…”
Section: Introductionmentioning
confidence: 99%