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 : 21 | Download : 7

Publication Date : 2021-02-04

Article Type : Research Paper

Abstract :In this paper, we study the geometry of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}insert ignore into journalissuearticles values(-r);$. 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 $\mathbb{H}^3insert ignore into journalissuearticles values(-r);$.
Keywords : rectifying curve, general helix, geodesic, hyperbolic space mathbb H ^3 r,