Xihe Liu

most citedSpherical orthotomic curve-germs

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.GT2019★ 1 cited

Spherical orthotomic curve-germs

Xihe Liu, Takashi Nishimura

In this paper, it is shown that for an $n$ -dimensional spherical unit speed curve $γ : I \to S^{n}$ , a given point $P \in S^{n}$ and a point $s_{0}$ of the open interval $I$ , the spherical…

math.DG2018

Generic singularities of spherical orthotomic curves associated with spherical pedal curves

Xihe Liu, Takashi Nishimura

For the n-dimensional spherical pedal curve $p e d_{γ, P}$ with respect to an n-dimensional spherical unit speed curve $γ$ and a given point $P \in S^{n}$ , we define the spherical ortho…