New Representation for Slant Curves in Sasakian 3-Manifolds

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Ateş O., GÖK İ., YAYLI Y.

International Electronic Journal of Geometry, cilt.17, sa.1, ss.277-289, 2024 (ESCI) identifier

  • 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
  • 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.