S. Ichiki

activity

20122021

most citedGeneralized distance-squared mappings of

R^{n + 1}

into

R^{2 n + 1}

1 citations · 4 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.DG2018

Generic distance-squared mappings on plane curves

Shunsuke Ichiki

A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. Moreover, distance-squared mappings are natu…

math.DG2017

Geometric interpretation of generalized distance-squared mappings of $R^{2}$ into $R^{ℓ}$ $(ℓ \geq 3)$

Shunsuke Ichiki

Generalized distance-squared mappings are quadratic mappings of $R^{m}$ into $R^{ℓ}$ of special type. In the case that matrices $A$ constructed by coefficients of…

math.DG2015★ 1 cited

Around distance-squared mappings

Shunsuke Ichiki, Takashi Nishimura

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

math.DG2015★ 1 cited

Generalized distance-squared mappings of $R^{n + 1}$ into $R^{2 n + 1}$

S. Ichiki, T. Nishimura

We classify generalized distance-squared mappings of $R^{n + 1}$ into $R^{2 n + 1}$ ( $n \geq 1$ ) having generic central points. Moreover, we show that there does not exi…

Generic distance-squared mappings on plane curves

Geometric interpretation of generalized distance-squared mappings of R2 into Rℓ (ℓ≥3)

Around distance-squared mappings

Generalized distance-squared mappings of Rn+1 into R2n+1

Geometric interpretation of generalized distance-squared mappings of $R^{2}$ into $R^{ℓ}$ $(ℓ \geq 3)$

Generalized distance-squared mappings of $R^{n + 1}$ into $R^{2 n + 1}$