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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.DG2024★ 4 cited
Stability of the cone-volume measure with near constant density
Yingxiang Hu, Mohammad N. Ivaki
We prove that if the density of the cone-volume measure of a smooth, strictly convex body with respect to the spherical Lebesgue measure is nearly constant, then a homothetic copy…