On ruled surface in 3-dimensional almost contact metric manifold
Abstract
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 Camcı. 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.
- Publication:
-
International Journal of Geometric Methods in Modern Physics
- Pub Date:
- 2017
- DOI:
- 10.1142/S0219887817500761
- Bibcode:
- 2017IJGMM..1450076K
- Keywords:
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- Sasakian manifold;
- contact manifold;
- ruled surface