3 papers
math.AP2026
Weighted centro-affine Poincaré inequalities
Yingxiang Hu, Mohammad N. Ivaki
We obtain weighted centro-affine Bochner formulas on spherical caps associated with smooth strictly convex hypersurfaces. As a consequence, we prove weighted Poincaré inequalities…
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…
math.DG2024
The horospherical -Christoffel-Minkowski and prescribed -shifted Weingarten curvature problems in hyperbolic space
Yingxiang Hu, Haizhong Li, Botong Xu
The -Christoffel-Minkowski problem and the prescribed -Weingarten curvature problem for convex hypersurfaces in Euclidean space are important problems in geometric analys…