3 papers
math.DG2026
On the Brunn-Minkowski inequality for -th dual quermassintegrals with
Haizhong Li, Yao Wan, Yijia Zhang
In this paper, we study the Brunn-Minkowski inequality for -th dual quermassintegrals with . This problem was recently posed by Sadovsky and Zhang. First, by a second varia…
math.DG2025
Uniqueness of -isotropic solutions to the isotropic Minkowski problem
Yao Wan
This paper investigates the spectral properties of the Hilbert-Brunn-Minkowski operator to derive stability estimates for geometric inequalities, including the local Brunn-Mi…
math.DG2025
Affine isoperimetric type inequalities for static convex domains in hyperbolic space
Yingxiang Hu, Haizhong Li, Yao Wan +1
In this paper, the notion of hyperbolic ellipsoids in hyperbolic space is introduced. Using a natural orthogonal projection from hyperbolic space to Euclidean space, we establish a…