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 2016Show all

4 papers · 1 filter

math.GT2016

Preservation of immersed or injective properties by composing generic generalized distance-squared mappings

Shunsuke Ichiki, Takashi Nishimura

Any generalized distance-squared mapping of equidimensional case has singularities, and their singularity types are wrapped into mystery in higher dimensional cases. Any generalize…

math.MG2016★ 1 cited

The Wulff construction for convex integrands

Huhe Han, Takashi Nishimura

For any given Wulff shape $W$ , we can define the unique continuous function $S^{n} \to R_{+}$ called convex integrand, denoted by $γ_{_{W}}$ . In this…

math.GT2016

Simultaneous stability of $C^{\infty}$ convex integrands and their duals

Erica Boizan Batista, Huhe Han, Takashi Nishimura

In this paper, the following three are shown. (1) For a $C^{\infty}$ convex integrand $γ : S^{n} \to R_{+}$ , its dual convex integrand $δ : S^{n} \to R_{+}$ is of class $C^\inf…

math.GT2016

Stability of $C^{\infty}$ convex integrands

Erica Boizan Batista, Huhe Han, Takashi Nishimura

In this paper, it is shown that the set consisting of stable convex integrands $S^{n} \to R_{+}$ is open and dense in the set consisting of $C^{\infty}$ convex integrands with re…

Preservation of immersed or injective properties by composing generic generalized distance-squared mappings

The Wulff construction for convex integrands

Simultaneous stability of C∞ convex integrands and their duals

Stability of C∞ convex integrands

Simultaneous stability of $C^{\infty}$ convex integrands and their duals

Stability of $C^{\infty}$ convex integrands