Horocyclic evolutes, parallels and involutes of spacelike frontals in hyperbolic 2-space
Differential Geometry
2026-05-04 v1
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.
Keywords
Cite
@article{arxiv.2605.00525,
title = {Horocyclic evolutes, parallels and involutes of spacelike frontals in hyperbolic 2-space},
author = {Nozomi Nakatsuyama and Masatomo Takahashi and Anjie Zhou},
journal= {arXiv preprint arXiv:2605.00525},
year = {2026}
}
Comments
26 pages, 5 figures