Xiong Ge

collaborators

2 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 GrÃ¼nbaum--Loewner centroid problems

Xiong Ge, Wang Shouda, Yang Kai-Wen +1

In the 1960s, GrÃ¼nbaum and Loewner raised problems concerning the minimum possible number of hyperplane sections of a convex body in $R^{n}$ whose centroids coincide with the centro…