2 papers
math.FA2026
An affirmative solution to the generalized Busemann--Petty problem with subspace dimensions and
Cheng Lin, Yu-De Liu, Ge Xiong
The generalized Busemann--Petty problem asks whether origin-symmetric convex bodies in having larger volume of all -dimensional sections necessarily have larger v…
math.MG2024
A matroid polytope approach to sharp affine isoperimetric inequalities for volume decomposition functionals
Yu-de Liu, Qiang Sun, Ge Xiong
New sharp affine isoperimetric inequalities for volume decomposition functionals and in are established. To fulfil this task, we prove the recursion…