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 2015Show all

6 papers · 1 filter

math.MG2015

Self-dual Wulff shapes and spherical convex bodies of constant width $π / 2$

Huhe Han, Takashi Nishimura

For any Wulff shape, its dual Wulff shape is naturally defined. A self-dual Wulff shape is a Wulff shape equaling its dual Wulff shape exactly. In this paper, it is shown that a Wu…

math.MG2015

Uniqueness of the surface energy density for a Wulff shape with $C^{1}$ boundary

Huhe Han, Takashi Nishimura

Let $γ : S^{n} \to R_{+}$ be a continuous function and let $W_{γ}$ be the Wulff shape associated with $γ$ . In this paper, we show that if the boundary of $W_{γ}$ …

math.MG2015★ 7 cited

Strictly convex Wulff shapes and $C^{1}$ convex integrands

Huhe Han, Takashi Nishimura

In this paper, it is shown that a Wulff shape is strictly convex if and only if its convex integrand is of class $C^{1}$ . Moreover, applications of this result are given.

math.MG2015★ 2 cited

The spherical dual transform is an isometry for spherical Wulff shapes

Huhe Han, Takashi Nishimura

A spherical Wulff shape is the spherical counterpart of a Wulff shape which is the well-known geometric model of a crystal at equilibrium introduced by G. Wulff in 1901. As same as…

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…

Self-dual Wulff shapes and spherical convex bodies of constant width π/2

Uniqueness of the surface energy density for a Wulff shape with C1 boundary

Strictly convex Wulff shapes and C1 convex integrands

The spherical dual transform is an isometry for spherical Wulff shapes

Around distance-squared mappings

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

Self-dual Wulff shapes and spherical convex bodies of constant width $π / 2$

Uniqueness of the surface energy density for a Wulff shape with $C^{1}$ boundary

Strictly convex Wulff shapes and $C^{1}$ convex integrands

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