Mohammad N. Ivaki

activity

20122026

most citedStability of the cone-volume measure with near constant density

4 citations · 6 across the 11 of their papers we have counts for

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12 papers · 1 filter

math.DG2025

On the conjectured capillary Blaschke-Santaló inequality

Carlos Cabezas-Moreno, Yingxiang Hu, Mohammad N. Ivaki

We prove that the conjectured capillary Blaschke--Santaló inequality holds for any unconditional, strictly convex capillary hypersurface when $θ \in (0, \frac{π}{2})$ . Mor…

math.DG2025

Capillary curvature images

Yingxiang Hu, Mohammad N. Ivaki

In this paper, we solve the even capillary $L_{p}$ -Minkowski problem for the range $- n < p < 1$ and $θ \in (0, \frac{π}{2})$ . Our approach is based on an iterative scheme that builds on…

math.DG2025

Capillary Christoffel-Minkowski problem

Yingxiang Hu, Mohammad N. Ivaki, Julian Scheuer

The result of Guan and Ma (Invent. Math. 151 (2003)) states that if $ϕ^{- 1/ k} : S^{n} \to (0, \infty)$ is spherically convex, then $ϕ$ arises as the $σ_{k}$ curvature (the $k$ -…

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 $R^{n + 1}$ , \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…

math.DG2023★ 1 cited

Uniqueness of solutions to a class of non-homogeneous curvature problems

Mohammad N. Ivaki

We show that the only even, smooth, convex solutions to a class of isotropic mixed Christoffel-Minkowski type problems are origin-centred spheres, which, in particular, answers a q…