Junjie Shan

The dual Minkowski problem under group actions

In this paper, we study the dual Minkowski problem under group symmetry. For 0 < 𝑞 ≤ 𝑛 , we give a complete existence characterization in the framework of G -invariant convex bodies when the group 𝐺 ⊂ 𝑂 ⁡ ( 𝑛 ) has no nonzero fixed points, recovering the origin-symmetric setting...