Affiliation:
1. MİLLİ SAVUNMA ÜNİVERSİTESİ
2. ANKARA UNIVERSITY, FACULTY OF SCIENCE
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.
Publisher
International Electronic Journal of Geometry, Person (Kazim ILARSLAN)
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https://doi.org/10.1007/BF01610616