New Representation for Slant Curves in Sasakian 3-Manifolds
International Electronic Journal of Geometry, cilt.17, sa.1, ss.277-289, 2024 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 1
- Basım Tarihi: 2024
- Doi Numarası: 10.36890/iejg.1397659
- Dergi Adı: International Electronic Journal of Geometry
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.277-289
- Anahtar Kelimeler: Curves of AW(k)-type, Mean curvature vector field, Sasakian manifold, Slant helix
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
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 ξ 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 R3(−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.