Huhe Han

activity

20172024

most citedSimultaneous smoothness and simultaneous stability of a

C^{\infty}

strictly convex integrand and its dual

1 citations · 2 across the 5 of their papers we have counts for

collaborators

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6 papers · 1 filter

math.MG2024

From spherical separation center set to the upper and lower bound theorems

Huhe Han

In this paper, we provide the upper bound and the lower bound of the sum of the number of spherical face-partition pair of simple spherical polytope $P$ with $p$ facets.

math.MG2024

Approximation of spherical convex bodies of constant width $π /2$

Huhe Han

Let $C \subset S^{2}$ be a spherical convex body of constant width $τ$ . It is known that (i) if $τ < π /2$ then for any $ε > 0$ there exists a spherical convex body $C_\…

math.MG2023

Behavior of convex integrand at apex of its Wulff shape

Huhe Han

Let $γ : S^{n} \to R_{+}$ be a convex integrand and $W_{γ}$ be the Wulff shape of $γ$ . Apex point naturally arise in non-smooth Wulff shape, in particular, vertex of co…

math.MG2023

Self-dual polytope and self-dual smooth Wulff shape

Huhe Han

For any Wulff shape $W$ , its dual Wulff shape and spherical Wulff shape $W$ can be defined naturally. A self-dual Wulff shape is a Wulff shape equal…

math.MG2020★ 1 cited

Spherical Separation Theorem

Huhe Han, Takashi Nishimura

In this paper, it is shown that for any two non-empty closed (resp., open) and spherical convex subsets $W_{1}, W_{2}$ of $S^{n}$ , the intersection $\mathcal{W}_1\cap…

math.MG2019

Constant diameter and constant width of spherical convex bodies

Huhe Han, Denghui Wu

In this paper we show that a spherical convex body $C$ is of constant diameter $τ$ if and only if $C$ is of constant width $τ$ , for $0 < τ < π$ . Moreover, some applications to Wulff sh…

From spherical separation center set to the upper and lower bound theorems

Approximation of spherical convex bodies of constant width π/2

Behavior of convex integrand at apex of its Wulff shape

Self-dual polytope and self-dual smooth Wulff shape

Spherical Separation Theorem

Constant diameter and constant width of spherical convex bodies

Approximation of spherical convex bodies of constant width $π /2$