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 
@article{KJM_2022_46_6_a6,
     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/