Geodesic
$k$-Type Bi-Null Cartan Slant Helices in $\mathbb R_2^6$
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 919 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In the present paper, we give the notion of $k$-type bi-null Cartan slant helices in $\mathbb{R}_{2}^{6}$, where $k\in \left \{ 1,2,3,4,5,6\right \} $. We give the necessary and sufficient conditions for bi-null Cartan curves to be $k$-type slant helices in terms of their curvature functions.
Classification : 53B30, 53A04
Keywords: $k$-Slant helix, bi-null Cartan curves, semi-Euclidean space, Cartan curvatures, Frenet equations 
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     author = {Ali U\c{c}um and Kaz{\i}m \.Ilarslan},
     title = {$k${-Type} {Bi-Null} {Cartan} {Slant} {Helices} in $\mathbb R_2^6$},
     journal = {Kragujevac Journal of Mathematics},
     pages = {919 },
     publisher = {mathdoc},
     volume = {46},
     number = {6},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a6/}
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Ali Uçum; Kazım İlarslan. $k$-Type Bi-Null Cartan Slant Helices in $\mathbb R_2^6$. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 919 . http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a6/