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.
“…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 ,…”
In this study, we examine timelike helices in R2^4 and some integral characterizations of these curves in terms of Frenet frame. In addition, we study timelike B2 slant helices in R2^4 and present the differential equations for vector positions.
“…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 ,…”
In this study, we examine timelike helices in R2^4 and some integral characterizations of these curves in terms of Frenet frame. In addition, we study timelike B2 slant helices in R2^4 and present the differential equations for vector positions.
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