2 papers
math.DG2024
New quermassintegral and Poincaré type inequalities for non-convex domains
Yingxiang Hu, Mohammad N. Ivaki
In the first part of this paper, we study the following non-homogeneous, locally constrained inverse curvature flow in Euclidean space , \begin{align*} \dot{x}=\l…
math.DG2016
Willmore inequality on hypersurfaces in hyperbolic space
Yingxiang Hu
In this article, we prove a geometric inequality for star-shaped and mean-convex hypersurfaces in hyperbolic space by inverse mean curvature flow. This inequality can be considered…