Some characterizations of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$

Year 2021, Volume: 50 Issue: 1, 235 - 242, 04.02.2021

Buddhadev Pal , Akhılesh Yadav

https://doi.org/10.15672/hujms.554500

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 $\mathbb{H}^3(-r)$

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