Ning Zhang

collaborators

3 papers

math.FA2017

On bodies with congruent sections or projections

Ning Zhang

In this paper, we construct two convex bodies $K$ and $L$ in $R^{n}$ , $n \geq 3$ , such that their projections $K ∣ H$ , $L ∣ H$ onto every subspace $H$ are congruent, but neverthe…

math.MG2017

Grünbaum's inequality for sections

Sergii Myroshnychenko, Matthew Stephen, Ning Zhang

We show \begin{align*} \frac{ \int_{E \cap θ^+} f(x) dx }{ \int_E f(x) dx } \geq \left(\frac{k γ+1}{(n+1) γ+1}\right)^{\frac{k γ+1}γ} \end{align*} for all $k$ -dimensional subspaces…

math.MG2016

Aleksandrov projection problem for convex lattice sets

Ning Zhang

Let $K$ and $L$ be origin-symmetric convex integer polytopes in $R^{n}$ . We study a discrete analogue of the Aleksandrov projection problem. If for every $u \in Z^{n}$ …