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.
Slant helices Mean curvature vector fields Curves of AW(k)-type Sasakian manifolds
Birincil Dil | İngilizce |
---|---|
Konular | Cebirsel ve Diferansiyel Geometri |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Erken Görünüm Tarihi | 17 Nisan 2024 |
Yayımlanma Tarihi | 23 Nisan 2024 |
Gönderilme Tarihi | 29 Kasım 2023 |
Kabul Tarihi | 25 Ocak 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 17 Sayı: 1 |