Xiong Ge

collaborators

3 papers

math.AP2026

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem

Xiong Ge, Yang Kaiwen

For solutions to the Minkowski problem of the even dual curvature measures $C_{q}$ in $R^{n}$ , $n \geq 2$ , we prove the non-uniqueness for $q > n$ and $n \geq 2$ , and th…

math.MG2026

A complete solution to the Grünbaum--Loewner centroid problems

Wang Shouda, Xiong Ge, Yang Kaiwen

In the 1960s, Grünbaum and Loewner raised problems concerning the minimum possible number of hyperplane sections of a convex body in $R^{n}$ whose centroids coincide with the centroi…

math.CO2010

The John Theorem for Simplex

Si Lin, Xiong Ge, Leng Gangsong

In this paper, we give a description of the John contact points of a regular simplex. We prove that the John ellipsoid of any simplex is ball if and only if this simplex is regular…