On ruled surface in 3-dimensional almost contact metric manifold

KARACAN, MURAT; YÜKSEL, NURAL; Ikiz, Hasibe

doi:10.1142/s0219887817500761

On ruled surface in 3-dimensional almost contact metric manifold

Atıf İçin Kopyala

KARACAN M. K., YÜKSEL N., Ikiz H.

International Journal of Geometric Methods in Modern Physics, cilt.14, sa.5, 2017 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 14 Sayı: 5
Basım Tarihi: 2017
Doi Numarası: 10.1142/s0219887817500761
Dergi Adı: International Journal of Geometric Methods in Modern Physics
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Anahtar Kelimeler: contact manifold, ruled surface, Sasakian manifold
Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we study ruled surface in 3-dimensional almost contact metric manifolds by using surface theory defined by Gök [Surfaces theory in contact geometry, PhD thesis (2010)]. We also studied the theory of curves using cross product defined by Camcl. In this study, we obtain the distribution parameters of the ruled surface and then some results and theorems are presented with special cases. Moreover, some relationships among asymptotic curve and striction line of the base curve of the ruled surface have been found.