T. Nishimura

activity

20112024

most citedRecognizable classification of Lorentzian distance-squared mappings

15 citations · 38 across the 29 of their papers we have counts for

collaborators

Showing math.DGShow all

10 papers · 1 filter

math.DG2024

A characterization of the Legendre involution on the class of generic frontals

Takashi Nishimura

We show that, under an additional mild assumption, on the class of generic frontals, any involution whose fixed point set is exactly the same as the fixed point set of the Legendre…

math.DG2023

Envelopes of straight line families in the plane

Takashi Nishimura

There is a widespread method to represent the envelope when a given hyperplane family creates an envelope. However, one sometimes encounters cases when the widespread method fails…

math.DG2023

Envelopes created by circle families in the plane

Yongqiao Wang, Takashi Nishimura

In this paper, on envelopes created by circle families in the plane, all four basic problems (existence problem, representation problem, problem on the number of envelopes, problem…

math.DG2019

Anti-orthotomics of frontals and their applications

Stanisław Janeczko, Takashi Nishimura

Let $f : N^{n} \to R^{n + 1}$ be a frontal with its Gauss mapping $ν : N \to S^{n}$ and let $P \in R^{n + 1}$ be a point such that $(f (x) - P) \cdot ν (x) \neq = 0$ for any $x \in N$ .…

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…

math.DG2015★ 1 cited

Around distance-squared mappings

Shunsuke Ichiki, Takashi Nishimura

This is a survey article on distance-squared mappings and related topics.