- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 1
- Some characterizations of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)...
Some characterizations of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$
Authors : Buddhadev Pal, Akhılesh Yadav
Pages : 235-242
Doi:10.15672/hujms.554500
View : 12 | Download : 4
Publication Date : 2021-02-04
Article Type : Research
Abstract :In this paper, we study the geometry of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$. Further we obtain the distance function in terms of arc length when the rectifying curve lying in the upper half plane. Then we find the distance function and also give the general equations of the curvature and torsion of rectifying general helices in $\mathbb{H}^3(-r)$.Keywords : rectifying curve, general helix, geodesic, hyperbolic space $mathbb{H}^3(-r)$