Horocyclic evolutes, parallels and involutes of spacelike frontals in hyperbolic 2-space
arXiv:2605.00525
Abstract
The horocyclic evolutes of spacelike frontals in hyperbolic 2-space have already been defined. Using enveloid theorem, we now define the horocyclic parallel and involute of a spacelike frontal in hyperbolic 2-space as the normal envelopes of its normal and tangent horocycles, respectively. Meanwhile, we investigate the relations among horocyclic evolutes, parallels and involutes.
26 pages, 5 figures