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arXiv · 2605.00525

Horocyclic evolutes, parallels and involutes of spacelike frontals in hyperbolic 2-space

Nozomi Nakatsuyama·Masatomo Takahashi·Anjie Zhou
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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.

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Nozomi Nakatsuyama, Masatomo Takahashi, Anjie Zhou. 2026-05-01. Horocyclic evolutes, parallels and involutes of spacelike frontals in hyperbolic 2-space. https://arxiv.org/abs/2605.00525

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