3 papers
math.DG2026
Evolutes, involutes and parallels of Legendre curves in hyperbolic and de Sitter 2-spaces via rotational transformations
Nozomi Nakatsuyama, Masatomo Takahashi, Anjie Zhou
We develop a unified approach to constructing the moving frames of the evolute, involute and parallel of a Legendre curve via rotational transformations (rotation, boost and null r…
math.DG2026
Horocyclic evolutes, parallels and involutes of spacelike frontals in hyperbolic 2-space
Nozomi Nakatsuyama, Masatomo Takahashi, Anjie Zhou
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 space…
math.DG2026
Hyperbolic generalized framed surfaces in hyperbolic 3-space
Donghe Pei, Masatomo Takahashi, Anjie Zhou
Generalizing both hyperbolic framed surfaces and one-parameter families of hyperbolic framed curves, we introduce the concept of hyperbolic generalized framed surfaces and establis…