A New Representation for Slant Curves in Sasakian 3-Manifolds

Authors : Osman Ateş, Ismail Gök, Yusuf Yaylı

Pages : 277-289

Doi:10.36890/iejg.1397659

View : 95 | Download : 86

Publication Date : 2024-04-23

Article Type : Research Paper

Abstract :In this paper, we define a new kind of curve called $N$-slant curve whose principal normal vector field makes a constant angle with the Reeb vector field $\\xi$ in Sasakian $3$-manifolds. Then, we give some characterizations of $N$-slant curves in Sasakian $3$-manifolds and we obtain some properties of the curves in $\\mathbb{R}^{3}(-3)$. Moreover, we investigate the conditions of $C$-parallel and $C$-proper mean curvature vector fields along $N$-slant curves in Sasakian $3$-manifolds. Finally, we study $N$-slant curves of type $AW(k)$ where k=1,2 or 3.
Keywords : Slant helices, Mean curvature vector fields, Curves of AW k type, Sasakian manifolds

ORIGINAL ARTICLE URL